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On the Elliptic Genus of Generalised Kummer Varieties

Marc A. Nieper-Wisskirchen
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Abstract

Borisov and Libgober recently proved a conjecture of Dijkgraaf, Moore, Verlinde, and Verlinde on the elliptic genus of a Hilbert scheme of points on a surface. We show how their result can be used together with our work on complex genera of generalised Kummer varieties to deduce a formula for the elliptic genus of a generalised Kummer variety.

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Marc A. Nieper-Wisskirchen. 2002-08-09. On the Elliptic Genus of Generalised Kummer Varieties. https://arxiv.org/abs/math/0208077

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