LEADER 01013nam0-22003731i-450- 001 990002102040403321 005 20090216143213.0 010 $a0-13-466715-8 035 $a000210204 035 $aFED01000210204 035 $a(Aleph)000210204FED01 035 $a000210204 100 $a20030910d1985----km-y0itay50------ba 101 0 $aeng 102 $aUS 200 1 $aInput-output analysis$efoundations and extensions$fRonald E. Miller, Peter D. Blair 210 $aEnglewood Cliffs$cPrentice-Hall$d1985 215 $aXII, 464 p.$d23 cm 676 $a339.2 700 1$aMiller,$bRonald E.$088802 702 1$aBlair,$bPeter D. 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990002102040403321 952 $aVI A 834$b8805$fFSPBC 952 $aF/3.01 MIL$b2475$fSES 952 $a62 339 MIL$bDEPA 3818$fDAGEA 952 $aXV I 200$fDTE 959 $aDAGEA 959 $aSES 959 $aFSPBC 959 $aDTE 996 $aInput-output analysis$9394738 997 $aUNINA LEADER 03744nam 22006135 450 001 9910733710003321 005 20200702064449.0 010 $a3-642-35662-1 024 7 $a10.1007/978-3-642-35662-9 035 $a(CKB)3280000000020590 035 $a(SSID)ssj0000880045 035 $a(PQKBManifestationID)11467978 035 $a(PQKBTitleCode)TC0000880045 035 $a(PQKBWorkID)10873277 035 $a(PQKB)11496970 035 $a(DE-He213)978-3-642-35662-9 035 $a(MiAaPQ)EBC3107049 035 $a(PPN)169138763 035 $a(EXLCZ)993280000000020590 100 $a20130305d2013 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aNonabelian Jacobian of Projective Surfaces $eGeometry and Representation Theory /$fby Igor Reider 205 $a1st ed. 2013. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013. 215 $a1 online resource (VIII, 227 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2072 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-35661-3 327 $a1 Introduction -- 2 Nonabelian Jacobian J(X; L; d): main properties -- 3 Some properties of the filtration H -- 4 The sheaf of Lie algebras G -- 5 Period maps and Torelli problems -- 6 sl2-structures on F -- 7 sl2-structures on G -- 8 Involution on G -- 9 Stratification of T -- 10 Configurations and theirs equations -- 11 Representation theoretic constructions -- 12 J(X; L; d) and the Langlands Duality. 330 $aThe Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces. Just like its classical counterpart, our nonabelian Jacobian relates to vector bundles (of rank 2) on a surface as well as its Hilbert scheme of points. But it also comes equipped with the variation of Hodge-like structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian. This constitutes a nonabelian analogue of the (abelian) Lie algebra structure of the classical Jacobian. This feature naturally relates geometry of surfaces with the representation theory of reductive Lie algebras/groups. This work?s main focus is on providing an in-depth study of various aspects of this relation. It presents a substantial body of evidence that the sheaf of Lie algebras on the nonabelian Jacobian is an efficient tool for using the representation theory to systematically address various algebro-geometric problems. It also shows how to construct new invariants of representation theoretic origin on smooth projective surfaces. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2072 606 $aAlgebraic geometry 606 $aMatrix theory 606 $aAlgebra 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 615 0$aAlgebraic geometry. 615 0$aMatrix theory. 615 0$aAlgebra. 615 14$aAlgebraic Geometry. 615 24$aLinear and Multilinear Algebras, Matrix Theory. 676 $a512.55 700 $aReider$b Igor$4aut$4http://id.loc.gov/vocabulary/relators/aut$0479690 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910733710003321 996 $aNonabelian Jacobian of projective surfaces$9258677 997 $aUNINA LEADER 01396nam0 22003011i 450 001 UON00493000 005 20231205105340.528 010 $a09-522-1194-7 100 $a20190226d1996 |0itac50 ba 101 $aeng 102 $aGB 105 $a|||| ||||| 200 1 $aRoland and Charlemagne in Europe: essays on the reception and transformation of a legend$fedited by Karen Pratt 210 $aLondon$cKing's College London, Centre for Late Antique & Medieval Studies$d1996 215 $aX, 217 p.$c[7] c. di tav.$d24 cm. 316 $aDono Prof. Alberto Varvaro.$5IT-UONSI F. 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