On Serre Intersection Multiplicity Conjecture

2015/07/14 by Mohammad Reza Rahmati, Rahmati, Mohammad Reza
Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1507.03915

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.

Related

• Intersection Multiplicity of Serre in the Unramified Case
• Positivity of Intersection Multiplicity Over a Two-Dimensional Base
• Computing Serre's intersection multiplicities
• Serre Intersection Multiplicity Conjecture and Hodge theory
• Divergent Series and Serre's intersection formula for graded rings