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.
Jiang, Smoothing of surface singularities via equiv ariant smoothing of lci covers, arXiv:2309.16562
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Proves existence of virtual fundamental class on KSBA moduli space of stable general type surfaces by constructing it on the moduli stack of lci covers and pushing forward.
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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The virtual fundamental class for the moduli space of surfaces of general type
Proves existence of virtual fundamental class on KSBA moduli space of stable general type surfaces by constructing it on the moduli stack of lci covers and pushing forward.