3 papers
hep-th2026
An Algorithm for Generating All Berglund-Hubsch-Type Calabi-Yau Orbifolds and Their Mirrors. Classification of Maximal Admissible Groups
Sergei Aleshin
In this paper, we present an algorithm for constructing all Calabi-Yau orbifolds and their mirror pairs associated with an arbitrary Berglund-Hubsch-type model, and prove its corre…
hep-th2026
Hodge numbers for orbifolds of Calabi-Yau threefolds Fermat type and the Roan pairs
Sergey Aleshin, Alexander Belavin, Gleb Koshevoy
First, for orbifolds of Calabi-Yau threefolds of Fermat type, we define Roan's Hodge numbers. We prove, Theorem \ref{main} , that for all orbifols of Calabi-Yau threefolds Fermat t…
hep-th2026
Construction of mirror pairs Calabi-Yau orbifolds of the Berglund-Hubsch type
Sergei Aleshin, Alexander Belavin
In this paper we have developed general algorithm for finding all orbifolds of Berglund-Hubsch-type Calabi-Yau manifolds and their mirrors. An explicit construction is formulated f…