English

On the Euler Characteristic of Generalized Kummer Varieties

alg-geom 2007-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.alg-geom/9711035,
  title  = {On the Euler Characteristic of Generalized Kummer Varieties},
  author = {Olivier Debarre},
  journal= {arXiv preprint arXiv:alg-geom/9711035},
  year   = {2007}
}

Comments

7 pages, Plain TeX, typeset twice to get references

R2 v1 2026-07-22T07:42:57.217Z