English

Serre Intersection Multiplicity Conjecture and Hodge theory

Algebraic Geometry 2019-07-18 v9

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 QlQ_l.

Cite

@article{arxiv.1404.2622,
  title  = {Serre Intersection Multiplicity Conjecture and Hodge theory},
  author = {Mohammad Reza Rahmati},
  journal= {arXiv preprint arXiv:1404.2622},
  year   = {2019}
}
R2 v1 2026-06-22T03:47:24.776Z