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.
The intrinsic normal cone
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We suggest a construction of virtual fundamental classes of certain types of moduli spaces.
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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.
PT generating functions with descendents are rational, with controlled poles, for superpositive curve classes on projective complex 3-folds.
citing papers explorer
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Enumerative Geometry on KSBA moduli spaces
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.
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Curvas de contato no espa\c{c}o projetivo
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.
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The Pandharipande-Thomas rationality conjecture for superpositive curve classes on projective complex 3-manifolds
PT generating functions with descendents are rational, with controlled poles, for superpositive curve classes on projective complex 3-folds.