Orbifold zeta functions for dual invertible polynomials

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Wolfgang Ebeling
  • Sabir M. Gusein-Zade

Research Organisations

External Research Organisations

  • Lomonosov Moscow State University
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Details

Original languageEnglish
Pages (from-to)99-106
Number of pages8
JournalProceedings of the Edinburgh Mathematical Society
Volume60
Issue number1
Publication statusPublished - 1 Feb 2017

Abstract

An invertible polynomial in n variables is a quasi-homogeneous polynomial consisting of n monomials so that the weights of the variables and the quasi-degree are well defined. In the framework of the construction of mirror symmetric orbifold Landau-Ginzburg models, Berglund, Hübsch and 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. Here we study the reduced orbifold zeta functions of dual pairs (f, G) and and show that they either coincide or are inverse to each other depending on the number n of variables.

Keywords

    Group action, Invertible polynomial, Monodromy, Orbifold zeta function

ASJC Scopus subject areas

Cite this

Orbifold zeta functions for dual invertible polynomials. / Ebeling, Wolfgang; Gusein-Zade, Sabir M.
In: Proceedings of the Edinburgh Mathematical Society, Vol. 60, No. 1, 01.02.2017, p. 99-106.

Research output: Contribution to journal › Article › Research › peer review

Ebeling W, Gusein-Zade SM. Orbifold zeta functions for dual invertible polynomials. Proceedings of the Edinburgh Mathematical Society. 2017 Feb 1;60(1):99-106. doi: 10.1017/S0013091516000043
Ebeling, Wolfgang ; Gusein-Zade, Sabir M. / Orbifold zeta functions for dual invertible polynomials. In: Proceedings of the Edinburgh Mathematical Society. 2017 ; Vol. 60, No. 1. pp. 99-106.
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