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[null,"1.","Record Nr.",null,"UNINA9910827875203321"]
[null,null,"Autore",null,"Aitken Wayne <1963->"]
[null,null,"Titolo",null,"An arithmetic Riemann-Roch theorem for singular arithmetic surfaces / / Wayne Aitken"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 1996"]
[{"$nulls":4},"©1996"]
[null,null,"ISBN",null,"1-4704-0158-4"]
[null,null,"Descrizione fisica",null,"1 online resource (189 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 120, Number 573"]
[null,null,"Disciplina",null,"512/.74"]
[null,null,"Soggetti",null,"Arithmetical algebraic geometry"]
[{"$nulls":4},"Riemann-Roch theorems"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"March 1996, volume 120, number 573 (first of 4 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"4. The Intersection Pairing\"\"\"\"5. The Determinant of Cohomology Line Bundle\"\"; \"\"6. Flat Base Change\"\"; \"\"Chapter 3. The Riemann-Roch Isomorphism\"\"; \"\"1. The Relative Dualizing Sheaf\"\"; \"\"2. The Adjunction Formula\"\"; \"\"3. The Duality Isomorphism on Determinants\"\"; \"\"4. The Riemann-Roch Isomorphism\"\"; \"\"Chapter 4. Intersection Functions on Complex Curves\"\"; \"\"1. Motivation: The Non-Archimedean Situation\"\"; \"\"2. The Archimedean Case: Basic Definitions\"\"; \"\"3. Intersection Functions on Nonsingular Curves\"\"; \"\"4. Intersection Functions on Singular Curves: The Existence Theorem\"\""]
[{"$nulls":4},"\"\"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 "]
[{"$nulls":4},"Riemann-Roch Isomorphism for Arithmetic Surfaces\"\"; \"\"Bibliography\"\""]