Constancy regions of mixed multiplier ideals in two-dimensional local rings with rational singularities
The aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a two-dimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given by the regions where the mixed multiplier ideals are constant. In particular...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| 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:2117/116413 |
| Acceso en línea: | https://hdl.handle.net/2117/116413 https://dx.doi.org/10.1002/mana.201600392 |
| Access Level: | acceso abierto |
| Palabra clave: | Algebra Geometry, Algebraic Mixed multiplier ideals rational singularities jumping walls Geometria algebraica Classificació AMS::14 Algebraic geometry::14F (Co)homology theory Classificació AMS::14 Algebraic geometry::14H Curves Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Sumario: | The aim of this paper is to study mixed multiplier ideals associated with a tuple of ideals in a two-dimensional local ring with a rational singularity. We are interested in the partition of the real positive orthant given by the regions where the mixed multiplier ideals are constant. In particular we reveal which information encoded in a mixed multiplier ideal determines its corresponding jumping wall and we provide an algorithm to compute all the constancy regions, and their corresponding mixed multiplier ideals, in any desired range. |
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