03179nam 2200601 450 991078874580332120170816143254.01-4704-0393-5(CKB)3360000000464979(EBL)3114544(SSID)ssj0000973486(PQKBManifestationID)11529943(PQKBTitleCode)TC0000973486(PQKBWorkID)10960963(PQKB)10012866(MiAaPQ)EBC3114544(RPAM)13336389(PPN)195416821(EXLCZ)99336000000046497920030908h20042004 uy| 0engur|n|---|||||txtccrPoints on quantum projectivizations /Adam NymanProvidence, Rhode Island :American Mathematical Society,[2004]©20041 online resource (154 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 795"Volume 167, number 795 (end of volume)."0-8218-3495-9 Includes bibliographical references (page 139) and index.""Contents""; ""Chapter 1. Introduction""; ""1.1. Geometric invariants in the absolute case""; ""1.2. Bimodules and algebras""; ""1.3. Geometric invariants in the relative case""; ""1.4. Organization of the paper""; ""1.5. Advice to the reader""; ""1.6. Notation and conventions""; ""Chapter 2. Compatibilities on Squares""; ""2.1. 2-Categories""; ""2.2. The category of squares""; ""2.3. Indexed categories""; ""2.4. Squares of indexed categories""; ""Chapter 3. Construction of the Functor Î?[sub(n)]""; ""3.1. Bimodules""; ""3.2. Bimodule algebras""; ""3.3. Lifting structures""""3.4. The definition of Î?[sub(n)]""""Chapter 4. Compatibility with Descent""; ""4.1. Local determination of a functor by a subfunctor""; ""4.2. An algebraic description of maps into projectivizations""; ""4.3. Free morphisms and free families""; ""4.4. The proof that Î?[sub(n)] is compatible with descent""; ""Chapter 5. The Representation of Î?[sub(n)] for Low n""; ""5.1. The representation of Î?[sub(0)]""; ""5.2. The representation of Î?[sub(n)] for 0 < n < m""; ""Chapter 6. The Bimodule Segre Embedding""; ""6.1. Statement of the main theorem""""6.2. Construction of the bimodule Segre embedding""""6.3. s is functorial""; ""6.4. s is compatible with base change""; ""6.5. s is associative""; ""Chapter 7. The Representation of Î?[sub(n)] for High n""; ""Bibliography""; ""Index""Memoirs of the American Mathematical Society ;no. 795.Geometry, AlgebraicNoncommutative algebrasCategories (Mathematics)Geometry, Algebraic.Noncommutative algebras.Categories (Mathematics)510 s516.3/5Nyman Adam1972-1567059MiAaPQMiAaPQMiAaPQBOOK9910788745803321Points on quantum projectivizations3838158UNINA