Serre Intersection Multiplicity Conjecture and Hodge theory

2014/04/08 by Rahmati, Mohammad Reza
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1404.2622

Abstract

We explain intersection multiplicity defined by J. P. Serre, in terms of the Poincare product in Hodge theory by a modification of the chern character map. We also discuss a formulation of the Euler characteristic via the action of correspondences on the Chow groups of projective varieties, assuming the Grothendieck Standard conjectures over Q_l.

Related

• On Serre Intersection Multiplicity Conjecture
• Intersection Multiplicity of Serre in the Unramified Case
• Notes on the Hodge Conjecture for Fermat Varieties
• A Survey of the Hodge Conjecture for Abelian Varieties
• Hodge loci and atypical intersections: conjectures