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The arithmetic of function fields [[electronic resource] ] : proceedings of the workshop at the Ohio State University, June 17-26, 1991 / / editors, David Goss, David R. Hayes, Michael I. Rosen
| The arithmetic of function fields [[electronic resource] ] : proceedings of the workshop at the Ohio State University, June 17-26, 1991 / / editors, David Goss, David R. Hayes, Michael I. Rosen |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1992 |
| Descrizione fisica | 1 online resource (492 p.) |
| Disciplina | 512/.74 |
| Altri autori (Persone) |
GossDavid <1952->
HayesDavid (David R.) RosenMichael I <1938-> (Michael Ira) |
| Collana | Ohio State University Mathematical Research Institute Publications |
| Soggetto topico |
Algebraic fields
Drinfeld modules |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-088615-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- A Brief Introduction to Drinfeld Modules / Hayes, David R. -- Galois Calculus and Carlitz Exponentials / Hellegouarch, Y. -- A Two-Dimensional Analogue of Stickelberger's Theorem / Anderson, G. W. -- On Gamma Functions for Function Fields / Thakur, D. S. -- Groups of Elliptic Units in Global Function Fields / Oukhaba, H. -- Class Number "Parity" for Cyclic Function Fields / Feng, Keqin -- Genus Two Hyperelliptic Drinfeld Modules over F2 / Dummit, D. S. -- A Short Introduction to Rigid Analytic Spaces / Goss, David -- Lecture on Rigid Geometry / Reversat, Marc -- Moduli for Drinfeld Modules / Gekeler, E. - U. -- Ramifications Arising from Drinfeld Modules / Taguchi, Yuichiro -- Rigid Analytic Modular Forms: An Integral Transform Approach / Teitelbaum, Jeremy -- Some Results on the Jacobians of Drinfeld Modular Curves / Gekeler, E.-U. / Reversat, M. -- Some Integrals Attached to Modular Forms in the Theory of Function Fields / Goss, David -- Transcendence in Finite Characteristic / Yu, Jing -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld / Thiery, Alain -- Géométrie Diophantienne sur les Modules de Drinfeld / Denis, L. -- Transcendence Properties of Carlitz Zeta-values / Damamme, G. -- L-series of t-motives and Drinfeld Modules / Goss, David -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields / Chapman, R. J. -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law / de Shalit, E. -- The Circle Method and the Strict Waring Problem in Function Fields / Car, M. -- Ramsey's Theorem and Waring's Problem for Algebras over Fields / Vaserstein, L. N. -- Sums of Three Cubes / Payne, G. / Vaserstein, L. -- Heights and Zeta Functions in Function Fields / Wan, Daqing -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields / Friesen, C. -- Dictionary / Goss, David -- Backmatter |
| Record Nr. | UNINA-9910461998003321 |
| Berlin ; ; New York, : W. de Gruyter, 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The arithmetic of function fields [[electronic resource] ] : proceedings of the workshop at the Ohio State University, June 17-26, 1991 / / editors, David Goss, David R. Hayes, Michael I. Rosen
| The arithmetic of function fields [[electronic resource] ] : proceedings of the workshop at the Ohio State University, June 17-26, 1991 / / editors, David Goss, David R. Hayes, Michael I. Rosen |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1992 |
| Descrizione fisica | 1 online resource (492 p.) |
| Disciplina | 512/.74 |
| Altri autori (Persone) |
GossDavid <1952->
HayesDavid (David R.) RosenMichael I <1938-> (Michael Ira) |
| Collana | Ohio State University Mathematical Research Institute Publications |
| Soggetto topico |
Algebraic fields
Drinfeld modules |
| ISBN | 3-11-088615-4 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- A Brief Introduction to Drinfeld Modules / Hayes, David R. -- Galois Calculus and Carlitz Exponentials / Hellegouarch, Y. -- A Two-Dimensional Analogue of Stickelberger's Theorem / Anderson, G. W. -- On Gamma Functions for Function Fields / Thakur, D. S. -- Groups of Elliptic Units in Global Function Fields / Oukhaba, H. -- Class Number "Parity" for Cyclic Function Fields / Feng, Keqin -- Genus Two Hyperelliptic Drinfeld Modules over F2 / Dummit, D. S. -- A Short Introduction to Rigid Analytic Spaces / Goss, David -- Lecture on Rigid Geometry / Reversat, Marc -- Moduli for Drinfeld Modules / Gekeler, E. - U. -- Ramifications Arising from Drinfeld Modules / Taguchi, Yuichiro -- Rigid Analytic Modular Forms: An Integral Transform Approach / Teitelbaum, Jeremy -- Some Results on the Jacobians of Drinfeld Modular Curves / Gekeler, E.-U. / Reversat, M. -- Some Integrals Attached to Modular Forms in the Theory of Function Fields / Goss, David -- Transcendence in Finite Characteristic / Yu, Jing -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld / Thiery, Alain -- Géométrie Diophantienne sur les Modules de Drinfeld / Denis, L. -- Transcendence Properties of Carlitz Zeta-values / Damamme, G. -- L-series of t-motives and Drinfeld Modules / Goss, David -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields / Chapman, R. J. -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law / de Shalit, E. -- The Circle Method and the Strict Waring Problem in Function Fields / Car, M. -- Ramsey's Theorem and Waring's Problem for Algebras over Fields / Vaserstein, L. N. -- Sums of Three Cubes / Payne, G. / Vaserstein, L. -- Heights and Zeta Functions in Function Fields / Wan, Daqing -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields / Friesen, C. -- Dictionary / Goss, David -- Backmatter |
| Record Nr. | UNINA-9910785819003321 |
| Berlin ; ; New York, : W. de Gruyter, 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Basic structures of function field arithmetic / David Goss
| Basic structures of function field arithmetic / David Goss |
| Autore | Goss, David |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1996 |
| Descrizione fisica | xiii, 422 p. ; 24 cm |
| Disciplina | 512.74 |
| Collana |
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge ; 35
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, 0071-1136 ; 35 = A series of modern surveys in mathematics, 0071-1136 ; 35 |
| Soggetto topico |
Algebraic fields
Arithmetic functions Drinfeld modules |
| ISBN | 3540610871 |
| Classificazione |
AMS 11G09
AMS 11R58 AMS 11S40 AMS 11S80 QA247.G686 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000714839707536 |
Goss, David
|
||
| Berlin : Springer-Verlag, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl
| Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl |
| Autore | Lehmkuhl Thomas |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 512/.42 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Drinfeld modules
Deformations (Mechanics) Surfaces, Algebraic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0527-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Line Bundles""; ""1. Basic notions""; ""2. Homomorphisms of line bundles""; ""3. Quotients""; ""4. The convergence lemma""; ""Chapter 2. Drinfeld Modules""; ""1. Analytical definition of Drinfeld modules""; ""2. The category of Drinfeld modules""; ""3. Drinfeld modules over fields""; ""4. Level structures""; ""5. Modular manifolds""; ""6. Pseudo-Drinfeld modules""; ""Chapter 3. Deformation Theory""; ""1. Deformations of Drinfeld modules""; ""2. Deformations of isogenies""; ""3. Deformations of level structures""
""4. Smoothness of the moduli spaces""""5. Group action on the moduli space""; ""Chapter 4. Tate Uniformization""; ""1. Formal schemes""; ""2. Good and stable reduction""; ""3. Lattices and Tate data""; ""4. Group action""; ""Chapter 5. Compactification of the Modular Surfaces""; ""1. Formal representability of Tate data""; ""2. The universal Drinfeld module with bad reduction""; ""3. Algebraization""; ""Appendix""; ""A. Induced schemes""; ""B. Construction of coherent sheaves""; ""Bibliography""; ""Glossary of Notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H"" ""I""""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" |
| Record Nr. | UNINA-9910480229403321 |
|
Lehmkuhl Thomas
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl
| Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl |
| Autore | Lehmkuhl Thomas |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 512/.42 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Drinfeld modules
Deformations (Mechanics) Surfaces, Algebraic |
| ISBN | 1-4704-0527-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Line Bundles""; ""1. Basic notions""; ""2. Homomorphisms of line bundles""; ""3. Quotients""; ""4. The convergence lemma""; ""Chapter 2. Drinfeld Modules""; ""1. Analytical definition of Drinfeld modules""; ""2. The category of Drinfeld modules""; ""3. Drinfeld modules over fields""; ""4. Level structures""; ""5. Modular manifolds""; ""6. Pseudo-Drinfeld modules""; ""Chapter 3. Deformation Theory""; ""1. Deformations of Drinfeld modules""; ""2. Deformations of isogenies""; ""3. Deformations of level structures""
""4. Smoothness of the moduli spaces""""5. Group action on the moduli space""; ""Chapter 4. Tate Uniformization""; ""1. Formal schemes""; ""2. Good and stable reduction""; ""3. Lattices and Tate data""; ""4. Group action""; ""Chapter 5. Compactification of the Modular Surfaces""; ""1. Formal representability of Tate data""; ""2. The universal Drinfeld module with bad reduction""; ""3. Algebraization""; ""Appendix""; ""A. Induced schemes""; ""B. Construction of coherent sheaves""; ""Bibliography""; ""Glossary of Notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H"" ""I""""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" |
| Record Nr. | UNINA-9910788854003321 |
|
Lehmkuhl Thomas
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl
| Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl |
| Autore | Lehmkuhl Thomas |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2009 |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina | 512/.42 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Drinfeld modules
Deformations (Mechanics) Surfaces, Algebraic |
| ISBN | 1-4704-0527-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Line Bundles""; ""1. Basic notions""; ""2. Homomorphisms of line bundles""; ""3. Quotients""; ""4. The convergence lemma""; ""Chapter 2. Drinfeld Modules""; ""1. Analytical definition of Drinfeld modules""; ""2. The category of Drinfeld modules""; ""3. Drinfeld modules over fields""; ""4. Level structures""; ""5. Modular manifolds""; ""6. Pseudo-Drinfeld modules""; ""Chapter 3. Deformation Theory""; ""1. Deformations of Drinfeld modules""; ""2. Deformations of isogenies""; ""3. Deformations of level structures""
""4. Smoothness of the moduli spaces""""5. Group action on the moduli space""; ""Chapter 4. Tate Uniformization""; ""1. Formal schemes""; ""2. Good and stable reduction""; ""3. Lattices and Tate data""; ""4. Group action""; ""Chapter 5. Compactification of the Modular Surfaces""; ""1. Formal representability of Tate data""; ""2. The universal Drinfeld module with bad reduction""; ""3. Algebraization""; ""Appendix""; ""A. Induced schemes""; ""B. Construction of coherent sheaves""; ""Bibliography""; ""Glossary of Notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H"" ""I""""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T"" |
| Record Nr. | UNINA-9910829176303321 |
|
Lehmkuhl Thomas
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Drinfeld Modules / / Mihran Papikian
| Drinfeld Modules / / Mihran Papikian |
| Autore | Papikian Mihran |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (541 pages) |
| Disciplina | 512.42 |
| Collana | Graduate Texts in Mathematics Series |
| Soggetto topico |
Drinfeld modules
Mòduls de Drinfeld |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031197079
9783031197062 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Acknowledgements -- Notation and Conventions -- Chapter 1. Algebraic Preliminaries -- Chapter 2. Non-Archimedean Fields -- Chapter 3. Basic Properties of Drinfeld Modules -- Chapter 4. Drinfeld Modules over Finite Fields -- Chapter 5. Analytic Theory of Drinfeld Modules -- Chapter 6. Drinfeld Modules over Local Fields -- Chapter 7. Drinfeld Modules over Global Fields -- Appendix A. Drinfeld modules for general function rings -- Appendix B. Notes on exercises -- Bibliography -- Index. |
| Record Nr. | UNINA-9910686774803321 |
|
Papikian Mihran
|
||
| Cham, Switzerland : , : Springer, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Drinfeld moduli schemes and automorphic forms : the theory of elliptic modules with applications / / Yuval Z. Flicker
| Drinfeld moduli schemes and automorphic forms : the theory of elliptic modules with applications / / Yuval Z. Flicker |
| Autore | Flicker Yuval Z |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer, 2013 |
| Descrizione fisica | 1 online resource (v, 154 pages) |
| Disciplina | 516.3/52 |
| Collana | SpringerBriefs in mathematics |
| Soggetto topico |
Drinfeld modules
Automorphic forms Elliptic functions |
| ISBN |
1-283-94590-8
1-4614-5888-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Elliptic moduli -- pt. 2. Hecke correspondences -- pt. 3. Trace formulae -- pt. 4. Higher reciprocity laws. |
| Record Nr. | UNINA-9910437878703321 |
|
Flicker Yuval Z
|
||
| New York, : Springer, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Function field arithmetic [[electronic resource] /] / by Dinesh S. Thakur
| Function field arithmetic [[electronic resource] /] / by Dinesh S. Thakur |
| Autore | Thakur Dinesh S. <1961-> |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (405 p.) |
| Disciplina | 512/.3 |
| Soggetto topico |
Algebraic fields
Arithmetic functions Drinfeld modules |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-87236-9
9786611872366 981-256-238-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Function Field Arithmetic; Contents; 1. Number fields and Function fields; 2. Drinfeld modules; 3. Explicit class field theory; 4. Gauss sums and Gamma functions; 5. Zeta functions; 6. Higher rank theory; 7. Higher dimensions and geometric tools; 8. Applications to Gauss sums, Gamma and Zeta values; 9. Diophantine approximation; 10. Transcendence results; 11. Automata and algebraicity: Applications; Note on the Notation; Bibliography |
| Record Nr. | UNINA-9910450150503321 |
|
Thakur Dinesh S. <1961->
|
||
| River Edge, N.J., : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Function field arithmetic [[electronic resource] /] / by Dinesh S. Thakur
| Function field arithmetic [[electronic resource] /] / by Dinesh S. Thakur |
| Autore | Thakur Dinesh S. <1961-> |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2004 |
| Descrizione fisica | 1 online resource (405 p.) |
| Disciplina | 512/.3 |
| Soggetto topico |
Algebraic fields
Arithmetic functions Drinfeld modules |
| ISBN |
1-281-87236-9
9786611872366 981-256-238-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Function Field Arithmetic; Contents; 1. Number fields and Function fields; 2. Drinfeld modules; 3. Explicit class field theory; 4. Gauss sums and Gamma functions; 5. Zeta functions; 6. Higher rank theory; 7. Higher dimensions and geometric tools; 8. Applications to Gauss sums, Gamma and Zeta values; 9. Diophantine approximation; 10. Transcendence results; 11. Automata and algebraicity: Applications; Note on the Notation; Bibliography |
| Record Nr. | UNINA-9910783218203321 |
|
Thakur Dinesh S. <1961->
|
||
| River Edge, N.J., : World Scientific, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
