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Maximal Cohen-Macaulay Modules over Cohen-Macaulay Rings

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Maximal Cohen-Macaulay Modules over Cohen-Macaulay Rings

Maximal Cohen-Macaulay Modules over Cohen-Macaulay Rings

Y. Yoshino
No date available
Paperback
9780521356947
Paperback
    Description

    The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists.

    Product details

    No date available
    Paperback
    9780521356947
    188 pages
    228 × 153 × 15 mm
    0.27kg

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    Contents

    Table of Contents

    • 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
    • Addenda
    • References.
      • Show more

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