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Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl



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Autore: Lehmkuhl Thomas Visualizza persona
Titolo: Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 2009
©2009
Descrizione fisica: 1 online resource (113 p.)
Disciplina: 512/.42
Soggetto topico: Drinfeld modules
Deformations (Mechanics)
Surfaces, Algebraic
Note generali: "January 2009, volume 197, number 921 (third of 5 numbers)."
Nota di bibliografia: Includes bibliographical references and index.
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""
Titolo autorizzato: Compactification of the Drinfeld modular surfaces  Visualizza cluster
ISBN: 1-4704-0527-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910829176303321
Lo trovi qui: Univ. Federico II
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Serie: Memoirs of the American Mathematical Society ; ; Number 921.