1.

Record Nr.

UNINA9910480854103321

Autore

Nyman Adam <1972->

Titolo

Points on quantum projectivizations / / Adam Nyman

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2004]

©2004

ISBN

1-4704-0393-5

Descrizione fisica

1 online resource (154 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 795

Disciplina

510 s

516.3/5

Soggetti

Geometry, Algebraic

Noncommutative algebras

Categories (Mathematics)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 167, number 795 (end of volume)."

Nota di bibliografia

Includes bibliographical references (page 139) and index.

Nota di contenuto

""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""