TY - JOUR

T1 - Orbifold Euler characteristics for dual invertible polynomials

AU - Ebeling, Wolfgang

AU - Gusein-Zade, Sabir M.

N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2012

Y1 - 2012

N2 - To construct mirror symmetric Landau-Ginzburg models, P.Berglund, T.Hübsch and M.Henningson considered a pair $(f,G)$ consisting of an invertible polynomial $f$ and an abelian group $G$ of its symmetries together with a dual pair $(\widetilde{f}, \widetilde{G})$. Here we study the reduced orbifold Euler characteristics of the Milnor fibres of $f$ and $\widetilde f$ with the actions of the groups $G$ and $\widetilde G$ respectively and show that they coincide up to a sign.

AB - To construct mirror symmetric Landau-Ginzburg models, P.Berglund, T.Hübsch and M.Henningson considered a pair $(f,G)$ consisting of an invertible polynomial $f$ and an abelian group $G$ of its symmetries together with a dual pair $(\widetilde{f}, \widetilde{G})$. Here we study the reduced orbifold Euler characteristics of the Milnor fibres of $f$ and $\widetilde f$ with the actions of the groups $G$ and $\widetilde G$ respectively and show that they coincide up to a sign.

KW - Group actions

KW - Invertible polynomials

KW - Orbifold Euler characteristic

UR - http://www.scopus.com/inward/record.url?scp=84855863151&partnerID=8YFLogxK

U2 - 10.17323/1609-4514-2012-12-1-49-54

DO - 10.17323/1609-4514-2012-12-1-49-54

M3 - Article

AN - SCOPUS:84855863151

VL - 12

SP - 49

EP - 54

JO - Moscow Mathematical Journal

JF - Moscow Mathematical Journal

SN - 1609-3321

IS - 1

ER -