LEADER 02849nam 2200649 450 001 9910146302703321 005 20220305041825.0 010 $a3-540-69804-3 024 7 $a10.1007/BFb0096380 035 $a(CKB)1000000000437324 035 $a(SSID)ssj0000326445 035 $a(PQKBManifestationID)12069589 035 $a(PQKBTitleCode)TC0000326445 035 $a(PQKBWorkID)10297552 035 $a(PQKB)10099285 035 $a(DE-He213)978-3-540-69804-3 035 $a(MiAaPQ)EBC5577526 035 $a(Au-PeEL)EBL5577526 035 $a(OCoLC)1066199632 035 $a(MiAaPQ)EBC6842503 035 $a(Au-PeEL)EBL6842503 035 $a(OCoLC)1292352992 035 $a(PPN)155190784 035 $a(EXLCZ)991000000000437324 100 $a20220305d1998 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSchubert varieties and degeneracy loci /$fWilliam Fulton, Piotr Pragacz 205 $a1st ed. 1998. 210 1$aBerlin, Heidelberg :$cSpringer-Verlag,$d[1998] 210 4$dİ1998 215 $a1 online resource (X, 150 p.) 225 1 $aLecture Notes in Mathematics ;$v1689 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-64538-1 327 $ato degeneracy loci and schubert polynomials -- Modern formulation; Grassmannians, flag varieties, schubert varieties -- Symmetric polynomials useful in geometry -- Polynomials supported on degeneracy loci -- The Euler characteristic of degeneracy loci -- Flag bundles and determinantal formulas for the other classical groups -- and polynomial formulas for other classical groups -- The classes of Brill-Noether loci in Prym varieties -- Applications and open problems. 330 $aSchubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems. There are interesting interactions with the algebra of symmetric functions and combinatorics, as well as the geometry of flag manifolds and intersection theory and algebraic geometry. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1689. 606 $aSchubert varieties 606 $aIntersection theory (Mathematics) 606 $aVector bundles 615 0$aSchubert varieties. 615 0$aIntersection theory (Mathematics) 615 0$aVector bundles. 676 $a516.35 700 $aFulton$b William$f1939-$041611 702 $aPragacz$b Piotr 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146302703321 996 $aSchubert varieties and degeneracy Loci$9261853 997 $aUNINA