03016nam 2200589 450 991078885400332120170822144145.01-4704-0527-X(CKB)3360000000465105(EBL)3114244(SSID)ssj0000888838(PQKBManifestationID)11453147(PQKBTitleCode)TC0000888838(PQKBWorkID)10865358(PQKB)10856098(MiAaPQ)EBC3114244(RPAM)15444186(PPN)195418107(EXLCZ)99336000000046510520150416h20092009 uy 0engur|n|---|||||txtccrCompactification of the Drinfeld modular surfaces /Thomas LehmkuhlProvidence, Rhode Island :American Mathematical Society,2009.©20091 online resource (113 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 921"January 2009, volume 197, number 921 (third of 5 numbers)."0-8218-4244-7 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Number 921.Drinfeld modulesDeformations (Mechanics)Surfaces, AlgebraicDrinfeld modules.Deformations (Mechanics)Surfaces, Algebraic.512/.42Lehmkuhl Thomas1565972MiAaPQMiAaPQMiAaPQBOOK9910788854003321Compactification of the Drinfeld modular surfaces3836154UNINA