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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 |
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Aitken Wayne <1963->
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| Providence, Rhode Island : , : American Mathematical Society, , 1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to the theory of algebraic functions of one variable / Claude Chevalley
| Introduction to the theory of algebraic functions of one variable / Claude Chevalley |
| Autore | Chevalley, Claude |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, 1951 |
| Descrizione fisica | xi, 188 p. ; 25 cm |
| Disciplina | 512.33 |
| Collana | Mathematical surveys, 0076-5376 ; 6 |
| Soggetto topico |
Algebraic functions
Differential and difference algebra Field extensions Riemann-Roch theorems |
| ISBN | 0821815067 |
| Classificazione |
AMS 12F
AMS 12H AMS 14C40 AMS 14H AMS 14H05 AMS 14K20 AMS 30F |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001030629707536 |
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Chevalley, Claude
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| Providence, R. I. : American Mathematical Society, 1951 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Lectures on the arithmetic Riemann-Roch theorem / by Gerd Faltings ; notes taken by Shouwu Zhang
| Lectures on the arithmetic Riemann-Roch theorem / by Gerd Faltings ; notes taken by Shouwu Zhang |
| Autore | Faltings, Gerd |
| Pubbl/distr/stampa | Princeton, N.J. : Princeton Univ. Press, 1992 |
| Descrizione fisica | x, 100 p. ; 25 cm. |
| Disciplina | 516.35 |
| Altri autori (Persone) | Zhang, Shouwu |
| Collana | Annals of mathematics studies ; 127 |
| Soggetto topico |
Algebraic geometry
Riemann-Roch theorems |
| ISBN | 0691025444 (PB) |
| Classificazione |
AMS 14C40
AMS 19L10 QA564.F36 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001070119707536 |
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Faltings, Gerd
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| Princeton, N.J. : Princeton Univ. Press, 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings
| Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings |
| Autore | Faltings Gerd |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (113 pages) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | ZhangShouwu |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geometry, Algebraic
Riemann-Roch theorems |
| Soggetto non controllato |
Addition
Adjoint Alexander Grothendieck Algebraic geometry Analytic torsion Arakelov theory Asymptote Asymptotic expansion Asymptotic formula Big O notation Cartesian coordinate system Characteristic class Chern class Chow group Closed immersion Codimension Coherent sheaf Cohomology Combination Commutator Computation Covariant derivative Curvature Derivative Determinant Diagonal Differentiable manifold Differential form Dimension (vector space) Divisor Domain of a function Dual basis E6 (mathematics) Eigenvalues and eigenvectors Embedding Endomorphism Exact sequence Exponential function Generic point Heat kernel Injective function Intersection theory K-group Levi-Civita connection Line bundle Linear algebra Local coordinates Mathematical induction Morphism Natural number Neighbourhood (mathematics) Parameter Projective space Pullback (category theory) Pullback (differential geometry) Pullback Riemannian manifold Riemann–Roch theorem Self-adjoint operator Smoothness Sobolev space Stochastic calculus Summation Supertrace Theorem Transition function Upper half-plane Vector bundle Volume form |
| ISBN | 1-4008-8247-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES |
| Record Nr. | UNINA-9910154744103321 |
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Faltings Gerd
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Liouville-Riemann-Roch theorems on Abelian coverings / / Minh Kha, Peter Kuchment
| Liouville-Riemann-Roch theorems on Abelian coverings / / Minh Kha, Peter Kuchment |
| Autore | Kha Minh |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XII, 96 p. 2 illus., 1 illus. in color.) |
| Disciplina | 515.353 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations, Elliptic
Riemann-Roch theorems |
| ISBN | 3-030-67428-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries -- The Main Results -- Proofs of the Main Results -- Specific Examples of Liouville-Riemann-Roch Theorems -- Auxiliary Statements and Proofs of Technical Lemmas -- Final Remarks and Conclusions. |
| Record Nr. | UNINA-9910483825303321 |
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Kha Minh
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Liouville-Riemann-Roch theorems on Abelian coverings / / Minh Kha, Peter Kuchment
| Liouville-Riemann-Roch theorems on Abelian coverings / / Minh Kha, Peter Kuchment |
| Autore | Kha Minh |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XII, 96 p. 2 illus., 1 illus. in color.) |
| Disciplina | 515.353 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations, Elliptic
Riemann-Roch theorems |
| ISBN | 3-030-67428-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preliminaries -- The Main Results -- Proofs of the Main Results -- Specific Examples of Liouville-Riemann-Roch Theorems -- Auxiliary Statements and Proofs of Technical Lemmas -- Final Remarks and Conclusions. |
| Record Nr. | UNISA-996466549803316 |
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Kha Minh
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Teorema di Riemann-Roch e questioni connesse : lectures given at the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, June 29-July 8, 1955 / / F. Severi (ed.)
| Teorema di Riemann-Roch e questioni connesse : lectures given at the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, June 29-July 8, 1955 / / F. Severi (ed.) |
| Edizione | [1st ed. 2011.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Springer, : Firenze, : C.I.M.E. Foundation, 2011 |
| Descrizione fisica | 1 online resource (92 p.) |
| Disciplina | 516.35 |
| Altri autori (Persone) | SeveriFrancesco <1879-1961.> |
| Collana | C.I.M.E. Summer Schools |
| Soggetto topico |
Riemann-Roch theorems
Geometry, Algebraic |
| ISBN | 3-642-10889-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Nota di contenuto | B.L. van der Waerden: Démonstration algébrique du théorème de Riemann-Roch -- F. Severi: Del teorema di Riemann-Roch per curve, superficie e varietà. Le origini storiche e lo stato attuale -- F. Hirzebruch: Arithmetic genera and the theorem of Riemann-Roch. |
| Altri titoli varianti | Corso di Varenna, 29 giugno-8 luglio 1955 |
| Record Nr. | UNINA-9910484648503321 |
| Berlin ; ; New York, : Springer, : Firenze, : C.I.M.E. Foundation, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Il teorema di Riemann-Roch per curve, superfici e varietà : questioni collegate / F. Severi
| Il teorema di Riemann-Roch per curve, superfici e varietà : questioni collegate / F. Severi |
| Autore | Severi, Francesco |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1958 |
| Descrizione fisica | viii, 131 p. ; 23 cm. |
| Disciplina | 516.35 |
| Soggetto topico | Riemann-Roch theorems |
| Classificazione | AMS 14C40 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISALENTO-991001416659707536 |
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Severi, Francesco
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| Berlin : Springer-Verlag, 1958 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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