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arXiv · 1406.4855

On Euler-Poincare characteristics

Rahbar Virk
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Abstract

It is well known that the Euler characteristic of the cohomology of a complex algebraic variety coincides with the Euler characteristic of its cohomology with compact support. An old result of G. Laumon asserts that a relative version of this statement is true in $\ell$-adic cohomology. The purpose of this note is to extend Laumon's result to the topological setting. Some applications are also discussed.

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Rahbar Virk. 2014-06-18. On Euler-Poincare characteristics. https://arxiv.org/abs/1406.4855

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