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Associated graded algebra of a Gorenstein Artin algebra /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island, United States :
American Mathematical Society,
1994.
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| Colección: | Memoirs of the American Mathematical Society ;
Volume 107, no. 514. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""TABLE OF CONTENTS""; ""1. GORENSTEIN ARTIN ALGEBRAS AND DUALITY""; ""Intersection of the m[sup(i)] and the Löewy filtrations""; ""1A. Introduction""; ""1B. The Gorenstein Artin algebras""; ""1C. The associated graded algebra""; ""1D. The Hilbert function decomposition""; ""1E. Linking and the induced Q (a) decomposition""; ""1F. R-module structure""; ""2. THE INTERSECTION OF TWO PLANE CURVES""; ""3. EXTREMAL DECOMPOSITIONS""; ""3A. Upper bounds for H(a)""; ""3B. Relatively compressed modifications of A""; ""3C. The family of algebras of decomposition D""
- 4. COMPONENTS OF THE HILBERT SCHEME STRATA 44A. Hilbert functions of m[sup(u) and 0 :m[sup(v)] and semicontinuity
- 4B. Components of Gor[sub(T)]R when T = (1,3,3,2,1,1)
- 4B.i. The variety Gor[sub(T)]R
- 4B.ii. Fibration Gor[sub(T)]R to G[sub(T)]: Parametrization as fibred varieties
- 4C. Finding Q(a) from a generator of the dual module
- 5. WHAT DECOMPOSITIONS D AND SUBQUOTIENTS Q(a) CAN OCCUR?
- 5A. Hilbert function of a graded Gorenstein Artin algebra
- 5B. Numerical conditions on the decomposition D
- ""5C. Gorenstein Artin algebras with given decomposition D""""5D. Applications""; ""5E. Problems""; ""5F. Appendix: Hilbert function decompositions for lengths n â?? 21 when e â?? 3, and for n â?? 16""; ""5F.i. Hilbert functions of unique decomposition""; ""5F.ii. Hilbert functions having several decompositions""; ""5F.iii. Discussion""; ""6. RELATIVELY COMPRESSED ARTIN ALGEBRAS""; ""BIBLIOGRAPHY""; ""LIST OF THEOREMS, DEFINITIONS, AND EXAMPLES""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""