| Description |
1 online resource (xvi, 344 pages) : illustrations |
| Series |
Contemporary mathematics ; 566 |
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Contemporary mathematics (American Mathematical Society) ; v. 566.
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| Contents |
""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"" |
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""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"" |
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""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"" |
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""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"" |
| Notes |
"Volume reflects the contents of the talks and some additional contributions given at the 'Second International Workshop on Zeta Functions in Algebra and Geometry' held at Universitat de les Illes Balears, Palma de Mallorca, Spain, from May 3rd to May 7th, 2010"--Preface |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from title page (American Mathematical Society, viewed May 29, 2012) |
| Subject |
Functions, Zeta -- Congresses
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Geometry, Algebraic -- Congresses
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Algebraic varieties -- Congresses
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Algebraic varieties
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Functions, Zeta
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Geometry, Algebraic
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Campillo, Antonio, 1953- editor.
|
| LC no. |
2011050434 |
| ISBN |
9780821887769 |
|
0821887769 |
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