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Elliptic Genera of singular varieties, orbifold elliptic genus and chiral deRham complex

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arxiv math/0007126 v2 pith:IVSWTIXQ submitted 2000-07-20 math.AG

classification math.AG
keywords ellipticgeneragenussingularvarietiesauthorscalculateschiral
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This paper surveys the authors recent work on two variable elliptic genus of singular varieties. The last section calculates a generating function for the elliptic genera of symmetric products. This generalizes the classical results of Macdonald and Zagier.

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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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