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Zeta functions in algebra and geometry : second international workshop, May 3-7, 2010, Universitat de les Illes Balears, Palma de Mallorca, Spain /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. : [Madrid] :
American Mathematical Society ; Real Sociedad Matemática Española,
[2012]
|
| Colección: | Contemporary mathematics (American Mathematical Society) ;
v. 566. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Preface""; ""Part I: L-functions of varieties over finite fields and Artin L-functions ""; ""Computational aspects of Artin -functions""; ""Introduction""; ""1. Modular forms and Maass forms""; ""2. Weight one holomorphic modular forms""; ""3. Some character tables""; ""4. Artin -functions""; ""5. Modular forms of weight one and Artin -functions""; ""6. Linear and projective Galois representations""; ""7. Computation of Artin -functions""; ""References""; ""Zeta functions for families of Calabi�Yau -folds with singu""; ""1. Introduction""; ""2. Facts about the zeta-function""
- ""3. Singularity analysis for some families of Fermat-type Calabi�Yau n-folds""""4. The influence of singularity data on strong -classes""; ""5. Examples of 2-parameter families""; ""6. Conclusion""; ""References""; ""Estimates for exponential sums with a large automorphism group""; ""1. Introduction""; ""2. Additive character sums for translation invariant polynomials""; ""3. Multiplicative character sums for translation invariant polynomials""; ""4. Additive character sums for homothety invariant polynomials""; ""5. Multiplicative character sums for homothety invariant polynomials""
- ""2. Height zeta functions""""3. Harmonic analysis""; ""4. The projective plane""; ""5. Geometrization""; ""References""; ""protect oindent Part III:\Motivic zeta functions, Poincar'e series, complex monodromy\and knots""; ""Singularity invariants related to Milnor fibers: survey""; ""1. Theoretical aspects""; ""2. Practical aspects""; ""References""; ""Finite families of plane valuations: value semigroup, graded algebra and Poincaré series""; ""1. Introduction""; ""2. Valuations""; ""3. Graded algebra of a valuation""; ""4. Plane valuations""; ""5. Poincaré series of the graded algebra""
- ""6. Graded algebra and Poincaré series of finite families valuations""""7. An application: Poincaré series of multiplier ideals of a plane divisorial valuation""; ""References""; "", -Catalan numbers and knot homology""; ""1. Introduction""; ""2. Bivariate Catalan numbers""; ""3. Homological knot invariants""; ""4. Appendix""; ""References""; ""Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties""; ""1. Introduction""; ""2. Preliminaries""; ""3.-adic and motivic zeta functions""