1.

Record Nr.

UNINA9910480584503321

Titolo

Zeta functions in algebra and geometry : second International Workshop, May 3-7, 2010, Universitat de Les Illes Balears, Palma de Mallorca, Spain / / Antonio Campillo [and four others], editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society

[Madrid] : , : Real Sociedad Matematica Espanola, , [2012]

©2012

ISBN

0-8218-8776-9

Descrizione fisica

1 online resource (362 p.)

Collana

Contemporary mathematics ; ; volume 566

Disciplina

515/.56

Soggetti

Functions, Zeta

Geometry, Algebraic

Algebraic varieties

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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 Calabiâ€?Yau   -folds with singu""; ""1. Introduction""; ""2. Facts about the zeta-function""

""3. Singularity analysis for some families of Fermat-type Calabiâ€?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""

""References""""protect  oindent Part II:\Height zeta functions\and arithmetic""; ""Height zeta functions on generalized projective toric varieties""; ""1. Introduction and detailed description of the problem""; ""2. Notations and preliminaries""; ""3. Statements of main results""; ""4. Proof of Theorem 3""; ""5. Proofs of Proposition 2 and Theorems 1, 2""; ""References""; ""Combinatorial cubic surfaces and reconstruction theorems""; ""References""; ""Height zeta functions of equivariant compactifications of semi-direct products of algebraic groups""; ""Introduction""; ""1. Geometry""

""4. Motivic integration on rigid varieties and the analytic Milnor fiber""