2014/06/18 by Virk, Rahbar
#Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.1406.4855
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 ℓ-adic cohomology. The purpose of this note is to extend Laumon's result to the topological setting. Some applications are also discussed.