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Field name	Details
Dewey Class	512.44
Title	Determinantal Ideals (EB) / by Rosa M. Miró-Roig
Author	Miró-Roig, Rosa M.
Other name(s)	SpringerLink (Online service)
Publication	Basel : Birkhäuser , 2008.
Physical Details	XVI, 140 pages : online resource.
Series	Progress in mathematics ; 264
ISBN	9783764385354
Summary Note	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.:
Contents note	Introduction -- 1. Background -- 2. CI-Liaison and G-Liaison of Standard Determinantal Ideals -- 3. Multiplicity Conjecture for Standard Determinantal Ideals -- 4. Unobstructedness and Dimension of Families of Standard Determinantal Ideals -- 5. Determinantal Ideals, Symmetric Determinantal Ideals and Open Problems -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-7643-8535-4
Links to Related Works	Subject References: Algebra . Algebraic Geometry . Combinatorial analysis . Combinatorics . Commutative Rings and Algebras . Authors: Miró-Roig, Rosa M. . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 512.44 .

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Determinantal Ideals

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