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An arithmetic Riemann-Roch theorem for singular arithmetic surfaces / / Wayne Aitken
| An arithmetic Riemann-Roch theorem for singular arithmetic surfaces / / Wayne Aitken |
| Autore | Aitken Wayne <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (189 p.) |
| Disciplina | 512/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Arithmetical algebraic geometry
Riemann-Roch theorems |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0158-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. The Intersection Pairing for One-Dimensional Schemes""; ""1. Preliminaries""; ""2. The Determinant of Cohomology Functor""; ""3. The Norm Functor for Zero-Dimensional Schemes""; ""4. The Definition of the Intersection Pairing""; ""5. The Intersection Pairing and Norms""; ""6. The Norm Functor for Divisors""; ""7. Other Properties of the Intersection Pairing""; ""8. Extensions of the Base Field""; ""Chapter 2. The Intersection Pairing for Families of One-dimensional Schemes""; ""1. Introduction""; ""2. Horizontal Divisors""; ""3. The Norm Functor""
""4. The Intersection Pairing""""5. The Determinant of Cohomology Line Bundle""; ""6. Flat Base Change""; ""Chapter 3. The Riemann-Roch Isomorphism""; ""1. The Relative Dualizing Sheaf""; ""2. The Adjunction Formula""; ""3. The Duality Isomorphism on Determinants""; ""4. The Riemann-Roch Isomorphism""; ""Chapter 4. Intersection Functions on Complex Curves""; ""1. Motivation: The Non-Archimedean Situation""; ""2. The Archimedean Case: Basic Definitions""; ""3. Intersection Functions on Nonsingular Curves""; ""4. Intersection Functions on Singular Curves: The Existence Theorem"" ""5. Classification of Intersection Functions: Preliminaries""""6. Classification of Intersection Functions""; ""7. Chern Forms of Intersection Functions""; ""8. Chern Forms of Intersection Functions: Proofs""; ""9. Chern Forms of Intersection Functions: Another Interpretation""; ""Chapter 5. The Arithmetic Riemann-Roch Isomorphism""; ""1. Norms for Determinants of Cohomology""; ""2. The Riemann-Roch Isomorphism for Arithmetic Surfaces""; ""Bibliography"" |
| Record Nr. | UNINA-9910480576503321 |
Aitken Wayne <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An arithmetic Riemann-Roch theorem for singular arithmetic surfaces / / Wayne Aitken
| An arithmetic Riemann-Roch theorem for singular arithmetic surfaces / / Wayne Aitken |
| Autore | Aitken Wayne <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (189 p.) |
| Disciplina | 512/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Arithmetical algebraic geometry
Riemann-Roch theorems |
| ISBN | 1-4704-0158-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. The Intersection Pairing for One-Dimensional Schemes""; ""1. Preliminaries""; ""2. The Determinant of Cohomology Functor""; ""3. The Norm Functor for Zero-Dimensional Schemes""; ""4. The Definition of the Intersection Pairing""; ""5. The Intersection Pairing and Norms""; ""6. The Norm Functor for Divisors""; ""7. Other Properties of the Intersection Pairing""; ""8. Extensions of the Base Field""; ""Chapter 2. The Intersection Pairing for Families of One-dimensional Schemes""; ""1. Introduction""; ""2. Horizontal Divisors""; ""3. The Norm Functor""
""4. The Intersection Pairing""""5. The Determinant of Cohomology Line Bundle""; ""6. Flat Base Change""; ""Chapter 3. The Riemann-Roch Isomorphism""; ""1. The Relative Dualizing Sheaf""; ""2. The Adjunction Formula""; ""3. The Duality Isomorphism on Determinants""; ""4. The Riemann-Roch Isomorphism""; ""Chapter 4. Intersection Functions on Complex Curves""; ""1. Motivation: The Non-Archimedean Situation""; ""2. The Archimedean Case: Basic Definitions""; ""3. Intersection Functions on Nonsingular Curves""; ""4. Intersection Functions on Singular Curves: The Existence Theorem"" ""5. Classification of Intersection Functions: Preliminaries""""6. Classification of Intersection Functions""; ""7. Chern Forms of Intersection Functions""; ""8. Chern Forms of Intersection Functions: Proofs""; ""9. Chern Forms of Intersection Functions: Another Interpretation""; ""Chapter 5. The Arithmetic Riemann-Roch Isomorphism""; ""1. Norms for Determinants of Cohomology""; ""2. The Riemann-Roch Isomorphism for Arithmetic Surfaces""; ""Bibliography"" |
| Record Nr. | UNINA-9910788759603321 |
|
Aitken Wayne <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An arithmetic Riemann-Roch theorem for singular arithmetic surfaces / / Wayne Aitken
| An arithmetic Riemann-Roch theorem for singular arithmetic surfaces / / Wayne Aitken |
| Autore | Aitken Wayne <1963-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| Descrizione fisica | 1 online resource (189 p.) |
| Disciplina | 512/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Arithmetical algebraic geometry
Riemann-Roch theorems |
| ISBN | 1-4704-0158-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. The Intersection Pairing for One-Dimensional Schemes""; ""1. Preliminaries""; ""2. The Determinant of Cohomology Functor""; ""3. The Norm Functor for Zero-Dimensional Schemes""; ""4. The Definition of the Intersection Pairing""; ""5. The Intersection Pairing and Norms""; ""6. The Norm Functor for Divisors""; ""7. Other Properties of the Intersection Pairing""; ""8. Extensions of the Base Field""; ""Chapter 2. The Intersection Pairing for Families of One-dimensional Schemes""; ""1. Introduction""; ""2. Horizontal Divisors""; ""3. The Norm Functor""
""4. The Intersection Pairing""""5. The Determinant of Cohomology Line Bundle""; ""6. Flat Base Change""; ""Chapter 3. The Riemann-Roch Isomorphism""; ""1. The Relative Dualizing Sheaf""; ""2. The Adjunction Formula""; ""3. The Duality Isomorphism on Determinants""; ""4. The Riemann-Roch Isomorphism""; ""Chapter 4. Intersection Functions on Complex Curves""; ""1. Motivation: The Non-Archimedean Situation""; ""2. The Archimedean Case: Basic Definitions""; ""3. Intersection Functions on Nonsingular Curves""; ""4. Intersection Functions on Singular Curves: The Existence Theorem"" ""5. Classification of Intersection Functions: Preliminaries""""6. Classification of Intersection Functions""; ""7. Chern Forms of Intersection Functions""; ""8. Chern Forms of Intersection Functions: Proofs""; ""9. Chern Forms of Intersection Functions: Another Interpretation""; ""Chapter 5. The Arithmetic Riemann-Roch Isomorphism""; ""1. Norms for Determinants of Cohomology""; ""2. The Riemann-Roch Isomorphism for Arithmetic Surfaces""; ""Bibliography"" |
| Record Nr. | UNINA-9910827875203321 |
|
Aitken Wayne <1963->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||