Determinantal ideals of linear type of a generic symmetric matrix

DOI10.1016/0021-8693(91)90305-RzbMath0737.13005MaRDI QIDQ1176677

Boris V. Kotzev

Publication date: 25 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Rees algebradivisor class groupdeterminantal ideal of linear typegeneric symmetric matrix

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Determinantal varieties (14M12) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Class groups (13C20)

Related Items (12)

Pfaffian ideals of linear type ⋮ Multivariate Gaussians, semidefinite matrix completion, and convex algebraic geometry ⋮ Bounding the degrees of the defining equations of Rees rings for certain determinantal and Pfaffian ideals ⋮ Equations and multidegrees for inverse symmetric matrix pairs ⋮ The degree of the central curve in semidefinite, linear, and quadratic programming ⋮ Homaloidal determinants ⋮ On the smoothness of blow ups ⋮ Arithmetic of normal Rees algebras ⋮ ON THE COORDINATE RING OF PAIRS OF ALTERNATING MATRICES WITH PRODUCT ZERO ⋮ Intersection Theory of Linear Embeddings ⋮ \(M\)-sequences, graph ideals, and ladder ideals of linear type ⋮ Defining Equations of Blowup Algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The divisor class group of ordinary and symbolic blow-ups
• On the exactness of the circular complex
• Determinantal ideals of linear type
• Polynomial representations of \(GL_n\)
• On the conormal bundle of the determinantal variety
• Algebras defined by powers of determinantal idelas
• Determinantal rings
• A characteristic free approach to invariant theory
• Ideals generated by minors of a symmetric matrix
• Sur les algèbres universelles
• The GL(_n)-invariant ideals of the coordinate ring of pairs of symmetric matrices with product zero
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• Note on coefficient fields of complete local rings

This page was built for publication: Determinantal ideals of linear type of a generic symmetric matrix