LEADER 02951nam 2200637Ia 450 001 9910822756703321 005 20200520144314.0 010 $a1-281-16776-2 010 $a9786611167769 010 $a3-7643-8535-9 024 7 $a10.1007/978-3-7643-8535-4 035 $a(CKB)1000000000398715 035 $a(EBL)336807 035 $a(OCoLC)233974116 035 $a(SSID)ssj0000137597 035 $a(PQKBManifestationID)11150389 035 $a(PQKBTitleCode)TC0000137597 035 $a(PQKBWorkID)10088598 035 $a(PQKB)11767280 035 $a(DE-He213)978-3-7643-8535-4 035 $a(MiAaPQ)EBC336807 035 $a(Au-PeEL)EBL336807 035 $a(CaPaEBR)ebr10222874 035 $a(CaONFJC)MIL116776 035 $a(PPN)123740282 035 $a(EXLCZ)991000000000398715 100 $a20070911d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDeterminantal ideals /$fRosa M. Miro-Roig 205 $a1st ed. 2008. 210 $aBasel $cBirkhauser ;$a[London $cSpringer, distributor]$dc2008 215 $a1 online resource (151 p.) 225 1 $aProgress in mathematics ;$vv. 264 300 $aDescription based upon print version of record. 311 $a3-7643-8534-0 320 $aIncludes bibliographical references and index. 327 $aBackground -- 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. 330 $aDeterminantal ideals are ideals generated by minors of a homogeneous polynomial matrix. Some classical ideals that can be generated in this way are the ideal of the Veronese varieties, of the Segre varieties, and of the rational normal scrolls. Determinantal ideals are a central topic in both commutative algebra and algebraic geometry, and they also have numerous connections with invariant theory, representation theory, and combinatorics. Due to their important role, their study has attracted many researchers and has received considerable attention in the literature. In this book three crucial problems are addressed: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and unobstructedness and dimension of families of standard determinantal ideals. 410 0$aProgress in mathematics (Boston, MA) ;$vv. 264. 606 $aIdeals (Algebra) 606 $aAlgebraic fields 615 0$aIdeals (Algebra) 615 0$aAlgebraic fields. 676 $a512.42 700 $aMiro-Roig$b Rosa M$067000 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910822756703321 996 $aDeterminantal ideals$9712407 997 $aUNINA