The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra | Paper Citation Record

Observation f6af94d5-b84f-4358-b4fc-f7b4f5bc0a0d · outbound

This paper cites Critical p-adic L-functions.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Critical p-adic L-functions

Reference 1

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This paper cites Ranks of Selmer groups in an analytic fam ily.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Ranks of Selmer groups in an analytic fam ily

Reference 2

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This paper cites Families of Galois representations and Selmer groups.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Families of Galois representations and Selmer groups

Reference 3

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This paper cites L-functions and Tamagawa numbers of mo- tives.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra L-functions and Tamagawa numbers of mo- tives

Reference 4

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This paper cites Demuškin groups with group actions and a pplications to de- formations of Galois representations.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Demuškin groups with group actions and a pplications to de- formations of Galois representations

Reference 5

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Observation 63b9e797-7092-4f40-9d3e-f83839cc91c2 · outbound

This paper cites Motivic L-functions and Galois module struc- tures.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Motivic L-functions and Galois module struc- tures

Reference 6

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This paper cites La conjecture de Birch et Swinnerton-Dye rp-adique.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra La conjecture de Birch et Swinnerton-Dye rp-adique

Reference 7

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Observation 25b8ad89-5189-4d7e-9540-a97995895209 · outbound

This paper cites Représentations de GL2(Qp) et (φ, Γ) -modules.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Représentations de GL2(Qp) et (φ, Γ) -modules

Reference 8

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Observation 60c7ac69-744f-4afc-a506-59ba6d58f275 · outbound

This paper cites Valeurs de fonctions L et périodes d’intégrales.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Valeurs de fonctions L et périodes d’intégrales

Reference 9

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Observation 54e7d4a3-57cc-4619-837b-255fa83bfbcc · outbound

This paper cites The Tamagawa n umber conjecture of adjoint motives of modular forms.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra The Tamagawa n umber conjecture of adjoint motives of modular forms

Reference 10

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Observation 9f8a095a-1cfa-4680-822b-2db8b31611b8 · outbound

This paper cites Varia tion of Iwasawa invariants in Hida families.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Varia tion of Iwasawa invariants in Hida families

Reference 11

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Observation 711b9f17-e637-4b80-92fe-6242c910eb42 · outbound

This paper cites Valeurs spéciales des fonctions L des motifs.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Valeurs spéciales des fonctions L des motifs

Reference 12

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Observation 90530b4c-56c2-447c-9c9e-05dd200844a3 · outbound

This paper cites p-adic properties of motivic fundamental lines.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra p-adic properties of motivic fundamental lines

Reference 13

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Observation ecf101a5-65f3-4262-a4d4-7e9f3efc98dc · outbound

This paper cites Congruences and the Iwasawa Main Conj ecture for modular forms.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Congruences and the Iwasawa Main Conj ecture for modular forms

Reference 14

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Observation 87a39336-7f97-495e-b204-f0ab2ab34314 · outbound

This paper cites Control theorems f or Selmer groups of nearly ordinary deformations.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Control theorems f or Selmer groups of nearly ordinary deformations

Reference 15

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Observation 037cddaa-075b-4923-b1b5-fe116c7ad413 · outbound

This paper cites The Iwasawa Main Conjecture for universal families of modular motives.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra The Iwasawa Main Conjecture for universal families of modular motives

Reference 16

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Observation e05d4ff9-0121-4137-8868-478a1cdc37ce · outbound

This paper cites Deformation rings and Hecke algebr as in the totally real case, 1999.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Deformation rings and Hecke algebr as in the totally real case, 1999

Reference 17

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This paper cites A formulation of conject ures on p-adic zeta functions in noncommutative Iwasawa theory.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra A formulation of conject ures on p-adic zeta functions in noncommutative Iwasawa theory

Reference 18

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This paper cites Gouvêa and Barry Mazur.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Gouvêa and Barry Mazur

Reference 19

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Observation 61cac8e4-fa19-4d14-90fd-4f3a27676666 · outbound

This paper cites Galois theory for the Selmer group of a n abelian variety.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Galois theory for the Selmer group of a n abelian variety

Reference 20

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Observation cbd9e8fd-899e-4053-8ba8-520497025751 · outbound

This paper cites Gross and Don B.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Gross and Don B

Reference 21

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This paper cites Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms

Reference 22

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Observation 509612a4-380f-4cc7-a060-082a1ebffc23 · outbound

This paper cites On nearly ordinary Hecke algebras for GL(2) over totally real ﬁelds.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra On nearly ordinary Hecke algebras for GL(2) over totally real ﬁelds

Reference 23

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This paper cites Analogies between number ﬁelds and f unction ﬁelds.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Analogies between number ﬁelds and f unction ﬁelds

Reference 24

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Observation 321b95b5-dc58-4155-b42a-7afddd9dbc69 · outbound

This paper cites The Birch and Swinnerton-Dyer formula for elliptic curves of analytic ra nk one.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra The Birch and Swinnerton-Dyer formula for elliptic curves of analytic ra nk one

Reference 25

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Observation 5caf6530-4c08-46ab-a285-bd5daec5fcc2 · outbound

This paper cites Iwasawa theory and p-adic Hodge theory.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Iwasawa theory and p-adic Hodge theory

Reference 26

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This paper cites Lectures on the approach to Iwasawa theory for Hasse-Weil L- functions via BdR.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Lectures on the approach to Iwasawa theory for Hasse-Weil L- functions via BdR

Reference 27

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This paper cites Euler systems, Iwasawa theory, and Selmer groups.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Euler systems, Iwasawa theory, and Selmer groups

Reference 28

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This paper cites p-adic Hodge theory and values of zeta functions of modular forms.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra p-adic Hodge theory and values of zeta functions of modular forms

Reference 29

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Observation 36353f03-ae59-478e-bf68-1b29a3f606a1 · outbound

This paper cites Iwasawa theory and generalizations.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Iwasawa theory and generalizations

Reference 30

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This paper cites Moduli of ﬁnite ﬂat group schemes, and modul arity.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Moduli of ﬁnite ﬂat group schemes, and modul arity

Reference 31

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This paper cites Iwasawa theory for elliptic curv es at supersingular primes.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Iwasawa theory for elliptic curv es at supersingular primes

Reference 32

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This paper cites Euler systems.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Euler systems

Reference 33

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This paper cites Eine p-adische Theorie der Zetawerte.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Eine p-adische Theorie der Zetawerte

Reference 34

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The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Unresolved cited work

Reference 35

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This paper cites On the arithmetic of special values of L functions.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra On the arithmetic of special values of L functions

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.852772Z

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This paper cites Arithmetic of W eil curves.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Arithmetic of W eil curves

Reference 37

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Observation 7d1fb50d-c3ae-471d-868e-ad442e4ea61b · outbound

This paper cites Tate, and J.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Tate, and J

Reference 38

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This paper cites Class ﬁelds of abelian ext ensions of Q.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Class ﬁelds of abelian ext ensions of Q

Reference 39

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Observation 932aae9e-01e7-4694-b173-b5cfdb60633c · outbound

This paper cites Zeta morphisms for rank two universa l deformations.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Zeta morphisms for rank two universa l deformations

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.786944Z

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Observation e7e8c7fb-dec9-4c60-b22c-98d52eaf3a61 · outbound

This paper cites Selmer complexes.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Selmer complexes

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.770335Z

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Observation da259832-6b09-43a9-80b5-8d54f1e5acdc · outbound

This paper cites On the two-variable Iwasawa main conje cture.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra On the two-variable Iwasawa main conje cture

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.754928Z

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This paper cites The image of Colmez’s Montreal functor.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra The image of Colmez’s Montreal functor

Reference 43

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Observation 98a73b99-2075-4412-9d06-44db0b278db5 · outbound

This paper cites Fonctions L p-adiques des représentations p-adiques.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Fonctions L p-adiques des représentations p-adiques

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.721163Z

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Observation 80ed9096-0154-4240-872f-0596036bbfe3 · outbound

This paper cites On the p-adicL-function of a modular form at a supersingular prime.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra On the p-adicL-function of a modular form at a supersingular prime

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.705676Z

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This paper cites On a variation of Mazur’s deformatio n functor.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra On a variation of Mazur’s deformatio n functor

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.690059Z

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Observation 8530f1af-43b1-453e-b1c8-c50e2cea69e1 · outbound

This paper cites Rohrlich.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Rohrlich

Reference 47

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Observation a95c7942-4669-4400-9e49-e4413e2fe7e6 · outbound

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The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Unresolved cited work

Reference 48

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Observation 45099bfe-0183-4a01-a29e-46e1bc733afa · outbound

This paper cites Local deformation rings for GL2 and a Breuil-Mézard conjecture when ℓ ⁄=p.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Local deformation rings for GL2 and a Breuil-Mézard conjecture when ℓ ⁄=p

Reference 49

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The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:57:10.625823Z

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Observation 928421ef-6f2f-4a04-a063-da2db74a4220 · outbound

This paper cites The Iwasawa main co njectures for GL2.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra The Iwasawa main co njectures for GL2

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.608824Z

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Observation 4a0d9b4a-4ae3-4294-85d2-bae0bcc8119e · outbound

This paper cites Iwasawa theory for elliptic curves at s upersingular primes: a pair of main conjectures.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Iwasawa theory for elliptic curves at s upersingular primes: a pair of main conjectures

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.591206Z

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Observation 80e72eef-c352-49a6-abac-4ee4ccc7bf38 · outbound

This paper cites Ring-theoretic prope rties of certain Hecke algebras.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Ring-theoretic prope rties of certain Hecke algebras

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.574723Z

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Observation 5f3aeb26-04d3-4d06-a2bb-64150cb3581a · outbound

This paper cites Bordeaux.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Bordeaux

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.556377Z

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Observation e92ac8df-e1ee-41a5-9f41-2b76fb1369f4 · outbound

This paper cites From the Birch and Swinnerton-Dyer Con jecture to non- commutative Iwasa theory via the Equivariant Tamagawa Number Conjecture-a survey.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra From the Birch and Swinnerton-Dyer Con jecture to non- commutative Iwasa theory via the Equivariant Tamagawa Number Conjecture-a survey

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:57:10.539877Z

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Observation f52a3690-60d0-4415-a206-5b944f4e8376 · outbound

This paper cites an unresolved cited work.

The Equivariant Tamagawa Number Conjectures for modular motives with coefficients in Hecke algebra Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:57:10.521854Z

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