Characteristic cycles of localizations: algorithmic approach
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 e...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/941 |
| Acceso en línea: | https://hdl.handle.net/2117/941 |
| Access Level: | acceso abierto |
| Palabra clave: | Algebra, Homological Differential algebra Characteristic cycle Local cohomology D-modules 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 |
| Sumario: | 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. |
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