Power Sums, Gorenstein Algebras, and Determinantal Loci
This book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory, and focus on binary forms and Waring's problem. Then the author's recent work is presented mainly on the representation of forms in three or...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Forms and catalecticant matrices
- Sums of powers of linear forms, and gorenstein algebras
- Tangent spaces to catalecticant schemes
- The locus PS(s, j; r) of sums of powers, and determinantal loci of catalecticant matrices
- Forms and zero-dimensional schemes I: Basic results, and the case r=3
- Forms and zero-dimensional schemes, II: Annihilating schemes and reducible Gor(T)
- Connectedness and components of the determinantal locus ?V s(u, v; r)
- Closures of the variety Gor(T), and the parameter space G(T) of graded algebras
- Questions and problems