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

Downloads

Downloads per month over past year

63201

Impacto

Downloads

Downloads per month over past year

Gusein-Zade, S. M. and Luengo Velasco, Ignacio and Melle Hernández, Alejandro (2019) Generalized Orbifold Euler Characteristics on the Grothendieck Ring of Varieties with Actions of Finite Groups. Symmetry, 11 (7). p. 902. ISSN 2073-8994

[thumbnail of symmetry-11-00902-v2.pdf]
Preview
PDF
Creative Commons Attribution.

306kB

Official URL: https://doi.org/10.3390/sym11070902




Abstract

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 (super index fGr) (sub index 0) (VarC) 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 (super index fGr) (sub index 0) (VarC) to the Grothendieck ring K (sub index 0) (VarC) 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.


Item Type:Article
Uncontrolled Keywords:actions of finite groups; complex quasi-projective varieties; Grothendieck rings; λ-structure; power structure; Macdonald-type equations
Subjects:Sciences > Mathematics
Sciences > Mathematics > Topology
ID Code:63201
Deposited On:27 Nov 2020 19:15
Last Modified:30 Nov 2020 08:21

Origin of downloads

Repository Staff Only: item control page