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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 / / Antonio Campillo [and four others], editors
| 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 |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina | 515/.56 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Functions, Zeta
Geometry, Algebraic Algebraic varieties |
| ISBN | 0-8218-8776-9 |
| Classificazione | 11F6611G2511L0711G5014D1014E1814G4022E5032S4057M27 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 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 -- 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. |
| Record Nr. | UNINA-9910788637103321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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
| 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 |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina | 515/.56 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Functions, Zeta
Geometry, Algebraic Algebraic varieties |
| ISBN | 0-8218-8776-9 |
| Classificazione | 11F6611G2511L0711G5014D1014E1814G4022E5032S4057M27 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 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 -- 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. |
| Record Nr. | UNINA-9910821761203321 |
| Providence, Rhode Island : , : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||