LEADER 03062nam 2200661 450 001 996466660203316 005 20220116002257.0 010 $a3-662-21581-0 024 7 $a10.1007/978-3-662-21581-4 035 $a(CKB)3390000000043625 035 $a(SSID)ssj0001091800 035 $a(PQKBManifestationID)11660966 035 $a(PQKBTitleCode)TC0001091800 035 $a(PQKBWorkID)11032252 035 $a(PQKB)10277568 035 $a(DE-He213)978-3-662-21581-4 035 $a(MiAaPQ)EBC5577428 035 $a(MiAaPQ)EBC6592750 035 $a(Au-PeEL)EBL5577428 035 $a(OCoLC)1066184185 035 $a(Au-PeEL)EBL6592750 035 $a(OCoLC)1250084277 035 $a(PPN)238023249 035 $a(EXLCZ)993390000000043625 100 $a20220116d1988 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe red book of varieties and schemes /$fDavid Mumford 205 $a1st ed. 1988. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1988] 210 4$d©1988 215 $a1 online resource (V, 315 p. 13 illus.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1358 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-50497-4 327 $aVarieties -- Some algebra -- Irreducible algebraic sets -- Definition of a morphism: I -- Sheaves and affine varieties -- Definition of prevarieties and morphism -- Products and the Hausdorff Axiom -- Dimension -- The fibres of a morphism -- Complete varieties -- Complex varieties -- Preschemes -- Spec (R) -- The category of preschemes -- Varieties are preschemes -- Fields of definition -- Closed subpreschemes -- The functor of points of a prescheme -- Proper morphisms and finite morphisms -- Specialization -- Local Properties of Schemes -- Quasi-coherent modules -- Coherent modules -- Tangent cones -- Non-singularity and differentials -- Étale morphisms -- Uniformizing parameters -- Non-singularity and the UFD property -- Normal varieties and normalization -- Zariski?s Main Theorem -- Flat and smooth morphisms. 330 $a"The book under review is a reprint of Mumford's famous Harvard lecture notes, widely used by the few past generations of algebraic geometers. Springer-Verlag has done the mathematical community a service by making these notes available once again.... The informal style and frequency of examples make the book an excellent text." (Mathematical Reviews). 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1358 606 $aGeometry, Algebraic 615 0$aGeometry, Algebraic. 676 $a516.35 686 $a14A10$2msc 686 $a14A15$2msc 686 $a14H10$2msc 686 $a14Kxx$2msc 686 $a14Fxx$2msc 686 $a14Lxx$2msc 700 $aMumford$b David$f1937-$042095 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466660203316 996 $aRed book of varieties and schemes$978627 997 $aUNISA