20.500.12556/RUL-182677 Deformations of an affine Gorenstein toric pair We consider deformations of a pair $(X,\partial X)$, where $X$ is an affine toric Gorenstein variety and $\partial X$ is its boundary. We compute the tangent and obstruction space for the corresponding deformation functor and for an admissible lattice degree $m$ we construct the miniversal deformation of $(X,\partial X)$ in degrees $-km$, for all $k\in{\mathbb N}$. This in particular generalizes Altmann's construction of the miniversal deformation of an isolated Gorenstein toric singularity to an arbitrary non-isolated Gorenstein toric singularity. Moreover, we show that the irreducible components of the reduced miniversal deformation are in one to one correspondence with maximal Minkowski decompositions of the polytope $P\cap(m=1)$, where $P$ is the lattice polytope defining $X$. deformation theory toric singularities true false true Angleški jezik Ni določen Članek v reviji 2026-05-20 15:58:39 2026-05-20 15:58:42 2026-05-21 04:57:18 0000-00-00 00:00:00 2026 0 0 Str. 419-445 Vol. 687 Feb. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512 0021-8693 10.1016/j.jalgebra.2025.09.007 250487811 1-s2.0-S0021869325005320-main.pdf 1-s2.0-S0021869325005320-main.pdf 1 6B081C511A234FCF87F9972AF5B85243 d1425b7e7783a202b7fcd3fe402c9beef33103a33daed3dd2a7013bebd16d7c0 17f85dd4-5454-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=234153 https://www.sciencedirect.com/science/article/pii/S0021869325005320 1 b1fc8e81-5453-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=234152 Fakulteta za elektrotehniko 0 0 0