Autor:	de Medrano, Lucia Lopez, Rincon, Felipe, Shaw, Kristin
Rok vydání:	2017
Předmět:	Mathematics - Combinatorics Mathematics - Algebraic Geometry 14C17 05B35 52C35
Druh dokumentu:	Working Paper
DOI:	10.1112/plms.12278
Popis:	We define Chern-Schwartz-MacPherson (CSM) cycles of an arbitrary matroid. These are balanced weighted fans supported on the skeleta of the corresponding Bergman fan. In the case that the matroid arises from a complex hyperplane arrangement A, we show that these cycles represent the CSM class of the complement of A. We also prove that for any matroid, the degrees of its CSM cycles are given by the coefficients of (a shift of) the reduced characteristic polynomial, and that CSM cycles are valuations under matroid polytope subdivisions. Comment: 26 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1707.07303 Zobrazit plný text záznamu View this record from Arxiv