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Obstruction theories and virtual fundamental classes

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arxiv 1111.4200 v1 pith:R3X37E7V submitted 2011-11-17 math.AG

classification math.AG
keywords obstructiontheoryartinbehrend-fantechiclassesdefinitiondefinitionsdeformation
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We give a new definition of an obstruction theory for infinitesimal deformation theory and relate it to earlier definitions of Artin, Fantechi-Manetti, Li-Tian, and Behrend-Fantechi.

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Cited by 1 Pith paper

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  1. The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers

    math.AG 2026-08 accept novelty 8.0 of 10

    Batyrev's non-negativity conjecture on stringy Hodge numbers is true for Gorenstein canonical projective varieties in dimension at most 4 and false in all dimensions 5 and higher.

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