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Generators and representability of functors in commutative and noncommutative geometry

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it

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2026 3

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The Azumification of orders

math.AG · 2026-06-03 · unverdicted · novelty 6.0

Any order over a reduced separated finite type scheme over a char 0 field can be resolved by an Azumaya algebra over a smooth DM stack via a sequence of stacky blow-ups.

Modular variants of p-adic fundamental sequence

math.NT · 2026-06-10 · unverdicted · novelty 5.0

Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).

Localizing subcategories for algebraic stacks

math.AG · 2026-06-01 · unverdicted · novelty 5.0

Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.

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Showing 3 of 3 citing papers after filters.

  • The Azumification of orders math.AG · 2026-06-03 · unverdicted · none · ref 24

    Any order over a reduced separated finite type scheme over a char 0 field can be resolved by an Azumaya algebra over a smooth DM stack via a sequence of stacky blow-ups.

  • Modular variants of p-adic fundamental sequence math.NT · 2026-06-10 · unverdicted · none · ref 147

    Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).

  • Localizing subcategories for algebraic stacks math.AG · 2026-06-01 · unverdicted · none · ref 10

    Establishes descent for ⊗-localizing subcategories along smooth presentations and classifies them for quasi-coherent derived categories on algebraic stacks via subsets of the topology.