Bernstein-Sato polynomial and related invariants for meromorphic functions
We develop a theory of Bernstein-Sato polynomials for meromorphic functions. As a first application we study the poles of Archimedian local zeta functions for meromorphic germs. We also present a theory of multiplier ideals for meromorphic functions from the analytic and algebraic point of view. It...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| 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:2117/446412 |
| Acceso en línea: | https://hdl.handle.net/2117/446412 https://dx.doi.org/10.1090/tran/9390 |
| Access Level: | acceso abierto |
| Palabra clave: | Homology theory Geometria algebraica Commutative rings Commutative algebra Anells (Àlgebra) Àlgebra commutativa Classificació AMS::13 Commutative rings and algebras::13N Differential algebra Classificació AMS::14 Algebraic geometry::14E Birational geometry Classificació AMS::14 Algebraic geometry::14F (Co)homology theory Classificació AMS::32 Several complex variables and analytic spaces::32S Singularities Classificació AMS::46 Associative rings and algebras::46F Distributions, generalized functions, distribution spaces Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de categories àlgebra homològica |
| Sumario: | We develop a theory of Bernstein-Sato polynomials for meromorphic functions. As a first application we study the poles of Archimedian local zeta functions for meromorphic germs. We also present a theory of multiplier ideals for meromorphic functions from the analytic and algebraic point of view. It is also shown that the jumping numbers of these multiplier ideals are related with the roots of the Bernstein-Sato polynomials. |
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