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 …

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 [2] is isomorphic as a Z= 2Z …

Complex Ricci-flat (ie, Calabi-Yau) hypersurfaces in spaces admitting a maximal (toric) $ U
(1)^ n $ gauge symmetry of general type (encoded by certain non-convex and multi-layered …

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 …

For any triple of positive integers and, cusp polynomial is known to be mirror to Geigle–
Lenzing orbifold projective line. More precisely, with a suitable choice of a primitive form, the …

According to the classification of quasihomogeneus singularities, any polynomial $ f $
defining such singularity has a decomposition $ f= f_\kappa+ f_ {add} $. The polynomial …

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 …