The Euclidean distance degree of smooth complex projective varieties

Autor:	Paolo Aluffi, Corey Harris
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	medicine.medical_specialty Pure mathematics 14C17 010103 numerical & computational mathematics 01 natural sciences Chern–Schwartz–MacPherson classes symbols.namesake Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Simple (abstract algebra) Mathematics::K-Theory and Homology Euler characteristic medicine FOS: Mathematics Projective space 0101 mathematics Algebraic Geometry (math.AG) Mathematics Intersection theory Algebra and Number Theory Degree (graph theory) 010102 general mathematics algebraic optimization Characteristic class Euclidean distance intersection theory 57R20 symbols 14N10 characteristic classes Variety (universal algebra)
Zdroj:	Algebra Number Theory 12, no. 8 (2018), 2005-2032
Popis:	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 [math] with the Euler characteristic of an open subset of [math] .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::710711c66b0c0d01b4d085a4d46f81ec https://projecteuclid.org/euclid.ant/1545361468 Zobrazit plný text záznamu