On the Euler Characteristic of Generalized Kummer Varieties

Details On the Euler Characteristic of Generalized Kummer Varieties On the Euler Characteristic of Generalized Kummer Varieties

1997-11-28

arxiv.org/abs/alg-geom/9711035v1

Mathematics

Algebraic Geometry

7 pages, Plain TeX, typeset twice to get references

Scientific paper

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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