Generalized Orbifold Euler Characteristics on the Grothendieck Ring of Varieties with Actions of Finite Groups

Autor:	S. M. Gusein-Zade, I. Luengo, A. Melle-Hernández
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	actions of finite groups complex quasi-projective varieties Grothendieck rings λ-structure power structure Macdonald-type equations Mathematics QA1-939
Zdroj:	Symmetry, Vol 11, Iss 7, p 902 (2019)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym11070902
Popis:	The notion of the orbifold Euler characteristic came from physics at the end of the 1980s. Coincidence (up to sign) of the orbifold Euler characteristics is a necessary condition for crepant resolutions of orbifolds to be mirror symmetric. There were defined higher order versions of the orbifold Euler characteristic and generalized (“motivic”) versions of them. In a previous paper, the authors defined a notion of the Grothendieck ring K 0 fGr ( Var C ) of varieties with actions of finite groups on which the orbifold Euler characteristic and its higher order versions are homomorphisms to the ring of integers. Here, we define the generalized orbifold Euler characteristic and higher order versions of it as ring homomorphisms from K 0 fGr ( Var C ) to the Grothendieck ring K 0 ( Var C ) of complex quasi-projective varieties and give some analogues of the classical Macdonald equations for the generating series of the Euler characteristics of the symmetric products of a space.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c5011ea8987d4c8cb29ddc1644195572 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.