Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Ebeling, Wolfgang, Gusein-Zade, Sabir M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210699
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic. Wolfgang Ebeling and Sabir M. Gusein-Zade. SIGMA 16 (2020), 051, 15 pages

P. Berglund, T. Hübsch, and M. Henningson proposed a method to construct mirror-symmetric Calabi-Yau manifolds. They considered a pair consisting of an invertible polynomial and of a finite (abelian) group of its diagonal symmetries together with a dual pair. A. Takahashi suggested a method to gener...