Determinantal Ideals

This comprehensive overview of determinantal ideals includes an analysis of the latest results. Following the carefully structured presentation, you'll develop new insights into addressing and solving open problems in liaison theory and Hilbert schemes.

Determinantal ideals are a central topic in both commutative algebra and algebraic geometry. In this book, three problems are addressed: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; unobstructedness and dimension of families of standard determinantal ideals. Winner of the Ferran Sunyer i Balaguer Prize 2007.

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 Includes supplementary material: sn.pub/extras

Contenu
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.