On the Elliptic Genus of Generalised Kummer Varieties

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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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