An arithmetic Riemann-Roch theorem for singular arithmetic surfaces / / Wayne Aitken
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| Autore: |
Aitken Wayne <1963->
|
| Titolo: |
An arithmetic Riemann-Roch theorem for singular arithmetic surfaces / / Wayne Aitken
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1996 |
| ©1996 | |
| Descrizione fisica: | 1 online resource (189 p.) |
| Disciplina: | 512/.74 |
| Soggetto topico: | Arithmetical algebraic geometry |
| Riemann-Roch theorems | |
| Note generali: | "March 1996, volume 120, number 573 (first of 4 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| 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"" | |
| Titolo autorizzato: | An arithmetic Riemann-Roch theorem for singular arithmetic surfaces |
| ISBN: | 1-4704-0158-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788759603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 120, Number 573.