Power Sums, Gorenstein Algebras, and Determinantal Loci

• Κύριοι συγγραφείς: Iarrobino, Anthony (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Kanev, Vassil (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
• Έκδοση: 1st ed. 1999.
• Σειρά: Lecture Notes in Mathematics, 1721
• Θέματα: Algebraic geometry.; Associative rings.; Rings (Algebra).; Algebraic Geometry.; Associative Rings and Algebras.

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...

Πίνακας περιεχομένων:

• 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.