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...
Gorde:
| Egile Nagusiak: | , , |
|---|---|
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Saila: | Lecture notes in mathematics
1721 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Power sums, Gorenstein algebras, and determinantal loci, Anthony Iarrobino, Vassil Kanev, by Anthony Iarrobino and Steven L. Kleiman, 1999, Berlin, Springer, 1 vol. (XXXI-345 p.), Lecture notes in mathematics, 3-540-66766-0 • Power Sums, Gorenstein Algebras, and Determinantal Loci, Texte imprimé, 9783662214862 |
Aurkibidea:
- 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.