English

Euclidean distance degree of projective varieties

Algebraic Geometry 2019-01-30 v2 Algebraic Topology

Abstract

We give a positive answer to a conjecture of Aluffi-Harris on the computation of the Euclidean distance degree of a possibly singular projective variety in terms of the local Euler obstruction function.

Keywords

Cite

@article{arxiv.1901.05550,
  title  = {Euclidean distance degree of projective varieties},
  author = {Laurentiu G. Maxim and Jose Israel Rodriguez and Botong Wang},
  journal= {arXiv preprint arXiv:1901.05550},
  year   = {2019}
}

Comments

10 pages. Key words: Euclidean distance degree, Euler characteristic, local Euler obstruction function