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Characteristic cycles of localizations: algorithmic approach
Álvarez Montaner, Josep; Leykin, Anton
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
For a polynomial ring R = k[x1, ..., xn], we present an algorithm for computing the characteristic cycle of the localization Rf for any nonzero polynomial f ∈ R. The approach is useful to answer certain questions regarding vanishing of local cohomology modules Hk I (R), which is illustrated by our examples.
Algebra, Homological
Differential algebra
Characteristic cycle
Local cohomology
Homologia, Teoria d'
Àlgebra diferencial
Classificació AMS::13 Commutative rings and algebras::13D Homological methods
Classificació AMS::13 Commutative rings and algebras::13N Differential algebra
Attribution-NonCommercial-NoDerivs 2.5 Spain

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