An important invariant of a polynomial f is its Jacobian algebra defined by its partial
derivatives. Let f be invariant with respect to the action of a finite group of diagonal …

Consider the pairs (f, G) with f= f (x1,..., xN) being a polynomial defining a
quasihomogeneous singularity and G being a subgroup of SL (N, C), preserving f. In …

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Abstract We study Landau–Ginzburg orbifolds (f, G) with f= x_1^ n+ ⋯+ x_N^ n and G=
S\ltimes G^ d, where S ⊆ S_N and G^ d is either the maximal group of scalar symmetries of f …

For a polynomial f= x 1 n+…+ x N n let G f be the non–abelian maximal group of symmetries
of f. This is a group generated by all g∈ GL (N, C), rescaling and permuting the variables, so …

The results of A. Chiodo, Y. Ruan and M. Krawitz associate the mirror partner Calabi-Yau
variety $ X $ to a Landau--Ginzburg orbifold $(f, G) $ if $ f $ is an invertible polynomial …

A version of mirror symmetry predicts a ring isomorphism between quantum cohomology of
a symplectic manifold and Jacobian algebra of the Landau-Ginzburg mirror, and for toric …

Изучаются орибифолды Гинзбурга–Ландау (f, G) в случае f= xn 1+···+ xn N и G= S Gd,
где S⊆ SN и Gd–либо максимальная группа скалярных симметрий многочлена f, либо …

We consider a pair consisting of an invertible polynomial and a finite abelian group of its
symmetries. Berglund, Hübsch, and Henningson proposed a duality between such pairs …