02984nam 2200637Ia 450 991078450710332120200520144314.01-281-16776-297866111677693-7643-8535-910.1007/978-3-7643-8535-4(CKB)1000000000398715(EBL)336807(OCoLC)233974116(SSID)ssj0000137597(PQKBManifestationID)11150389(PQKBTitleCode)TC0000137597(PQKBWorkID)10088598(PQKB)11767280(DE-He213)978-3-7643-8535-4(MiAaPQ)EBC336807(Au-PeEL)EBL336807(CaPaEBR)ebr10222874(CaONFJC)MIL116776(PPN)123740282(EXLCZ)99100000000039871520070911d2008 uy 0engur|n|---|||||txtccrDeterminantal ideals[electronic resource] /Rosa M. Miró-Roig1st ed. 2008.Basel Birkhäuser ;[London Springer, distributor]c20081 online resource (151 p.)Progress in mathematics ;v. 264Description based upon print version of record.3-7643-8534-0 Includes bibliographical references and index.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.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.Progress in mathematics (Boston, MA) ;v. 264.Ideals (Algebra)Algebraic fieldsIdeals (Algebra)Algebraic fields.512.42Miró-Roig Rosa M67000MiAaPQMiAaPQMiAaPQBOOK9910784507103321Determinantal ideals712407UNINA