The Euler characteristics of generalized Kummer schemes

Abstract

We compute the Euler characteristics of the generalized Kummer schemes associated to $A\times Y$, where $A$ is an abelian variety and $Y$ is a smooth quasi-projective variety. When $Y$ is a point, our results prove a formula conjectured by Gulbrandsen.

arXiv comment7 pages, final version, accepted by Mathematische Zeitschrift

Cited by in corpus (1)

• The Euler characteristic of the generalized Kummer scheme of an Abelian threefold