DETERMINANTAL IDEALS.

Miro-Roig, Rosa M.

ISBN 10: 3764385340 / ISBN 13: 9783764385347

Verlag: Birkhauser:, 2008

Beschreibung

138 pages. "Determinal ideals are ideals generated by minors of a homogeneous polynomial matrix." FINE HARDCOVER Size: 8vo - over 7¾" - 9¾" tall.

Bestandsnummer des Verkäufers 032194

Bibliografische Details

• Titel: DETERMINANTAL IDEALS.
• Verlag: Birkhauser:
• Erscheinungsjahr: 2008
• Sprache: Englisch
• ISBN-10: 3764385340
• ISBN-13: 9783764385347
• Einband: Hard Cover
• Zustand: Fine
• Zustand des Schutzumschlags: Not Issued with a Dust Jacket.
• Verkäuferkataloge:
  • TECHNOLOGY, SCIENCE & MATHEMATICS

Über diesen Titel

Inhaltsangabe

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.

Von der hinteren Coverseite

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.