Overview
- Winner of the Ferran Sunyer i Balaguer Prize 2007
- Gives new insights in open problems in liaison theory and Hilbert schemes
- Publishes new results on determinantal ideals and gives an overview of recent developments
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematics (PM, volume 264)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Determinantal Ideals
Authors: Rosa M. Miró-Roig
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-7643-8535-4
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2008
Hardcover ISBN: 978-3-7643-8534-7Published: 16 November 2007
eBook ISBN: 978-3-7643-8535-4Published: 31 December 2007
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XVI, 140