1.

Record Nr.

UNINA9910480516603321

Autore

Canonaco Alberto <1973->

Titolo

The Beilinson complex and canonical rings of irregular surfaces / / Alberto Canonaco

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2006]

©2006

ISBN

1-4704-0466-4

Descrizione fisica

1 online resource (114 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 862

Disciplina

510 s

516.3/5

Soggetti

Schemes (Algebraic geometry)

Projective spaces

Geometry, Algebraic

Commutative rings

Abelian categories

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 183, number 862 (second of 4 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 95-96) and index.

Nota di contenuto

""Contents""; ""Introduction""; ""Chapter 1. Graded schemes""; ""1.1. Graded rings and modules""; ""1.2. Modules versus graded modules""; ""1.3. Graded schemes""; ""1.4. Good graded schemes""; ""1.5. Proj of a noetherian positively graded ring""; ""1.6. Graded schemes and algebraic stacks""; ""Chapter 2. Beilinson's theorem on P(w)""; ""2.1. Koszul complex and sheaves of differentials""; ""2.2. The theorem as equivalence of categories""; ""2.3. Morphisms between sheaves of differentials""; ""2.4. Uniqueness of the minimal resolution""; ""2.5. Explicit form of the minimal resolution""

""Appendix A. Abelian categories and derived categories""""A.1. Quotient of an abelian category""; ""A.2. Triangulated categories""; ""A.3. Derived categories""; ""A.4. Derived functors""; ""A.5. Some related results""; ""Bibliography""; ""Index""