Affordable Access

A classical proof that the algebraic homotopy class of a rational function is the residue pairing

Authors
  • Kass, Jesse Leo
  • Wickelgren, Kirsten
Type
Preprint
Publication Date
Feb 25, 2016
Submission Date
Feb 25, 2016
Identifiers
arXiv ID: 1602.08129
Source
arXiv
License
Yellow
External links

Abstract

C. Cazanave has identified the algebraic homotopy class of a rational function of 1 variable with an explicit nondegenerate symmetric bilinear form. Here we relate Cazanave's result to classical results and in particular identify Cazanave's form with a residue pairing from commutative algebra. We announce work identifying the local A1-degree of a polynomial map in several variables that has an isolated zero at the origin with the residue pairing.

Report this publication

Statistics

Seen <100 times