Non-Fiction Books:

Determinantal Ideals

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Description

Determinantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls. Determinantal ideals are a central topic in both commutative algebra and algebraic geometry, and they also have numerous connections with invariant theory, representation theory, and combinatorics. Due to their important role, their study has attracted many researchers and has received considerable attention in the literature. In this book three crucial problems are addressed: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and unobstructedness and dimension of families of standard determinantal ideals. Winner of the Ferran Sunyer i Balaguer Prize 2007.
Release date Australia
November 16th, 2007
Audience
  • Further/Higher Education
Illustrations
XVI, 140 p.
Pages
140
Dimensions
155x235x11
ISBN-13
9783764385347
Product ID
5262578

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