Cohen-Macaulay modules over Cohen-Macaulay rings
Yuji Yoshino.
Cambridge : Cambridge University Press, 1990.
177 págs. ; 23 cm.
Serie: London Mathematical Society lecture note series ; 146
ISBN: 0521356946 (pbk.)
"A widely revised version of lectures I gave at Tokyo Metropolitan University in 1987, originally written in Japanese."—Preface.
"Dedicated to Professor Hideyuki Matsumura on his sixtieth birthday."
Incluye referencias bibliográficas (p. 170-173) e índices.
Reseña: MathSciNet, 92b:13016
Contenido
- 1. Preliminaries
- 2. AR sequences and irreducible morphisms
- 3. Isolated singularities
- 4. Auslander categories
- 5. AR quivers
- 6. The Brauer-Thrall theorem
- 7. Matrix factorizations
- 8. Simple singularities
- 9. One-dimensional CM rings of finite representation type
- 10. McKay graphs
- 11. Two-dimensional CM rings of finite representation type
- 12. Knörrer's periodicity
- 13. Grothendieck groups
- 14. CM modules on quadrics
- 15. Graded CM modules on graded CM rings
- 16. CM modules on toric singularities
- 17. Homogeneous CM rings of finite representation type.