Determinantal ideals / Rosa M. Miro-Roig.

Format:

Book

Author/Creator:

Miró-Roig, Rosa M.

Series:

Progress in mathematics (Boston, MA) ; v. 264.

Progress in mathematics ; v. 264

Language:

English

Subjects (All):

Ideals (Algebra).

Algebraic fields.

Physical Description:

1 online resource (151 p.)

Edition:

1st ed. 2008.

Place of Publication:

Basel : Birkhauser ; [London : Springer, distributor], c2008.

Language Note:

English

Summary:

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:

Background

CI-liaison and G-liaison of Standard Determinantal Ideals

Multiplicity Conjecture for Standard Determinantal Ideals

Unobstructedness and Dimension of Families of Standard Determinantal Ideals

Determinantal Ideals, Symmetric Determinantal Ideals, and Open Problems.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-16776-2

9786611167769

3-7643-8535-9

OCLC:

233974116