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In Artin's work on algebraic spaces and algebraic stacks [A2], [A3], a crucial ingredient is the use of his
approximation theorem to prove the algebraizability of formal deformations under quite gene...
VersalDeformations - a package for computing versal deformations and local Hilbert schemes
VersalDeformations local Hilbert schemes versal deformations Algebraic Geometry
2011/9/5
Abstract: We provide an overview of the Macaulay2 package VersalDeformations, which algorithmically computes versal deformations of isolated singularities, as well as local (multi)graded Hilbert schem...
Versal Deformations and Versality in Central Extensions of Jacobi's Schemes
Versal Deformations Versality in Central Extensions of Jacobi's Schemes
2010/11/29
Let Lm be the scheme of the laws defined by the Jacobi’s iden-tities on Km with K a field. A deformation of g ∈ Lm, parametrized by a local K-algebra A, is a local K-algebra morphism from the local ri...