Progress in Mathematics

Determinantal Ideals

Authors: Miró-Roig, Rosa M.

  • 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
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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.

Table of contents (5 chapters)

  • Background

    Pages 1-28

  • CI-liaison and G-liaison of Standard Determinantal Ideals

    Pages 29-43

  • Multiplicity Conjecture for Standard Determinantal Ideals

    Pages 45-61

  • Unobstructedness and Dimension of Families of Standard Determinantal Ideals

    Pages 63-103

  • Determinantal Ideals, Symmetric Determinantal Ideals, and Open Problems

    Pages 105-128

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-7643-8535-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-7643-8534-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Determinantal Ideals
Authors
Series Title
Progress in Mathematics
Series Volume
264
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8535-4
DOI
10.1007/978-3-7643-8535-4
Hardcover ISBN
978-3-7643-8534-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XVI, 140
Topics