41 citations · 155 across the 45 of their papers we have counts for
53 papers · 1 filter
Mirror symmetry on levels of non-abelian Landau--Ginzburg orbifolds
Wolfgang Ebeling, Sabir M. Gusein-Zade
We consider the Berglund-Hübsch-Henningson-Takahashi duality of Landau-Ginzburg orbifolds with a symmetry group generated by some diagonal symmetries and some permutations of varia…
Indices of vector fields and 1-forms
Wolfgang Ebeling, Sabir M. Gusein-Zade
We discuss the notions of indices of vector fields and 1-forms and their generalizations to singular varieties and varieties with actions of finite groups, as well as indices of co…
Strange duality between the quadrangle complete intersection singularities
Wolfgang Ebeling, Atsushi Takahashi
There is a strange duality between the quadrangle isolated complete intersection singularities discovered by the first author and C.T.C.Wall. We derive this duality from the mirror…
Graded matrix factorizations of size two and reduction
Wolfgang Ebeling, Atsushi Takahashi
We associate a complete intersection singularity to a graded matrix factorization of size two of a polynomial in three variables. We show that we get an inverse to the reduction of…
Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic
Wolfgang Ebeling, Sabir M. Gusein-Zade
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…
Distinguished bases and monodromy of complex hypersurface singularities
Wolfgang Ebeling
We give a survey on some aspects of the topological investigation of isolated singularities of complex hypersurfaces by means of Picard-Lefschetz theory. We focus on the concept of…