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The intrinsic normal cone

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arxiv alg-geom/9601010 v1 pith:QBYRK4TB submitted 1996-01-15 alg-geom math.AG

The intrinsic normal cone

K. Behrend , B. Fantechi This is my paper
classification alg-geom math.AG
keywords certainclassesconeconstructionfundamentalintrinsicmodulinormal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We suggest a construction of virtual fundamental classes of certain types of moduli spaces.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Virtual Jeffrey--Kirwan localisation

    math.AG 2026-07 accept novelty 7.0

    Virtual integrals over GIT quotients X//G equal Jeffrey–Kirwan residues of virtual integrals over T-fixed loci, for perfect obstruction theories and oriented (−2)-shifted symplectic structures, in cohomology and K-theory.

  2. Enumerative Geometry on KSBA moduli spaces

    math.AG 2026-05 unverdicted novelty 7.0

    Two new compactifications of KSBA moduli spaces of general type surfaces admit perfect obstruction theories, enabling virtual fundamental classes and tautological invariants for enumerative geometry.

  3. The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds

    math.AG 2026-04 unverdicted novelty 6.0

    Proves that generating functions of Pandharipande-Thomas invariants with descendent insertions are rational with controlled poles for superpositive curve classes on projective complex 3-manifolds.

  4. The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds

    math.AG 2026-04 unverdicted novelty 6.0

    PT generating functions with descendents are rational, with controlled poles, for superpositive curve classes on projective complex 3-folds.

  5. Curvas de contato no espa\c{c}o projetivo

    math.AG 2019-07 unverdicted novelty 6.0

    Computes virtual enumerative invariants N_d for contact curves of degree d in P^3 incident to 2d+1 lines, with explicit values up to d=4 obtained via stable maps and localization.