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On the Euler Characteristic of Generalized Kummer Varieties

Olivier Debarre
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Abstract

We apply the Yau-Zaslow-Beauville method to compute the Euler characteristic of the generalized Kummer varieties attached to a complex abelian surface (a calculation also done by Goettsche and Soergel by different methods). It is related to the number of genus 2 curves on an abelian surface.

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BibTeXRIS

Olivier Debarre. 1997-11-28. On the Euler Characteristic of Generalized Kummer Varieties. https://arxiv.org/abs/alg-geom/9711035

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