Algorithmic Computation of Flattenings and of Modular Deformations
Copyright policy )Algorithmic Computation of Flattenings and of Modular Deformations
An algorithm to compute the ideal of the flattening stratum of a module over a local algebra, modulo a power of the maximal ideal, is described. The algorithm is implemented in \textit{Singular}. As an application, the infinitesimal modular deformations of isolated complete intersection singularities can be computed, as they are characterised as flattening strata of their first tangent cohomology.
Computational aspects and applications of commutative rings, Computational Mathematics, modular deformation, Algebra and Number Theory, Singularities in algebraic geometry, Computational aspects in algebraic geometry, Symbolic computation and algebraic computation, singular, modular deformations of isolated complete intersection singularities, flattening stratification
Computational aspects and applications of commutative rings, Computational Mathematics, modular deformation, Algebra and Number Theory, Singularities in algebraic geometry, Computational aspects in algebraic geometry, Symbolic computation and algebraic computation, singular, modular deformations of isolated complete intersection singularities, flattening stratification
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