On Serre Intersection Multiplicity Conjecture

Abstract

In this short note, we expose some of the works on Serre intersection multiplicity conjecture. I provide a proof of the vanishing of Serre intersection multiplicity in non-proper intersection over a regular ring based on the intersection theory in W. Fulton.

References in corpus (1)

• The Mukai pairing, II: the Hochschild-Kostant-Rosenberg isomorphism