The Euclidean distance degree of smooth complex projective varieties
Algebraic Geometry
2018-12-26 v2
Abstract
We obtain several formulas for the Euclidean distance degree (ED degree) of an arbitrary nonsingular variety in projective space: in terms of Chern and Segre classes, Milnor classes, Chern-Schwartz-MacPherson classes, and an extremely simple formula equating the Euclidean distance degree of X with the Euler characteristic of an open subset of X.
Keywords
Cite
@article{arxiv.1708.00024,
title = {The Euclidean distance degree of smooth complex projective varieties},
author = {Paolo Aluffi and Corey Harris},
journal= {arXiv preprint arXiv:1708.00024},
year = {2018}
}