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Record Nr. |
UNINA9910788854003321 |
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Autore |
Lehmkuhl Thomas |
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Titolo |
Compactification of the Drinfeld modular surfaces / / Thomas Lehmkuhl |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2009 |
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©2009 |
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ISBN |
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Descrizione fisica |
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1 online resource (113 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 921 |
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Disciplina |
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Soggetti |
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Drinfeld modules |
Deformations (Mechanics) |
Surfaces, Algebraic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 2009, volume 197, number 921 (third of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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"" |
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