Alexey Basalaev

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20172020

most citedMirror symmetry for a cusp polynomial Landau-Ginzburg orbifold

1 citations · 1 across the 2 of their papers we have counts for

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math.AG2020

Hochschild cohomology of Fermat type polynomials with non-abelian symmetries

Alexey Basalaev, Andrei Ionov

For a polynomial $f = x_{1}^{n} + \dots + x_{N}^{n}$ let $G_{f}$ be the non--abelian maximal group of symmetries of $f$ . This is a group generated by all $g \in GL (N, C)$ , r…

math.AG2020★ 1 cited

Mirror symmetry for a cusp polynomial Landau-Ginzburg orbifold

Alexey Basalaev, Atsushi Takahashi

For any triple of positive integers $A^{'} = (a_{1}^{'}, a_{2}^{'}, a_{3}^{'})$ and $c \in C^{*}$ , cusp polynomial $f_{A^{'}} = x_{1}^{a_{1}^{'}} + x_{2}^{a_{2}^{'}} + x_{3}^{a_{3}^{'}} - c^{- 1} x_{1} x_{2} x_{3}$ is known to be mir…

math.AG2018

Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomials

Alexey Basalaev, Atsushi Takahashi

Let $f$ be an invertible polynomial and $G$ a group of diagonal symmetries of $f$ . This note shows that the orbifold Jacobian algebra $Jac (f, G)$ of $(f, G)$ defined by the…

math.AG2017

Orbifold Jacobian algebras for exceptional unimodal singularities

Alexey Basalaev, Atsushi Takahashi, Elisabeth Werner

This note shows that the orbifold Jacobian algebra associated to each invertible polynomial defining an exceptional unimodal singularity is isomorphic to the (usual) Jacobian algeb…