TY  - BOOK
AU  - Nyman,Adam
TI  - Points on Quantum Projectivizations
T2  - Memoirs of the American Mathematical Society
SN  - 9781470403935
AV  - QA564 -- .N96 2004eb 
U1  - 510 s;516.3/5 
PY  - 2003///
CY  - Providence
PB  - American Mathematical Society
KW  - Geometry, Algebraic
KW  - Noncommutative algebras
KW  - Categories (Mathematics)
KW  - Electronic books
N1  - Intro -- 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 Γ[sub(n)] -- 3.1. Bimodules -- 3.2. Bimodule algebras -- 3.3. Lifting structures -- 3.4. The definition of Γ[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 Γ[sub(n)] is compatible with descent -- Chapter 5. The Representation of Γ[sub(n)] for Low n -- 5.1. The representation of Γ[sub(0)] -- 5.2. The representation of Γ[sub(n)] for 0 &lt -- n &lt -- 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 Γ[sub(n)] for High n -- Bibliography -- Index
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114544
ER  -