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.
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Series: |
Progress in Mathematics, 264 |
Release date: |
November 2007 |
First published: |
2008 |
Authors: |
Rosa M. Miro-Roig
|
Dimensions: |
235 x 155 x 11mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
140 |
Edition: |
2008 ed. |
ISBN-13: |
978-3-7643-8534-7 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-7643-8534-0 |
Barcode: |
9783764385347 |
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