03062nam 2200661 450 99646666020331620220116002257.03-662-21581-010.1007/978-3-662-21581-4(CKB)3390000000043625(SSID)ssj0001091800(PQKBManifestationID)11660966(PQKBTitleCode)TC0001091800(PQKBWorkID)11032252(PQKB)10277568(DE-He213)978-3-662-21581-4(MiAaPQ)EBC5577428(MiAaPQ)EBC6592750(Au-PeEL)EBL5577428(OCoLC)1066184185(Au-PeEL)EBL6592750(OCoLC)1250084277(PPN)238023249(EXLCZ)99339000000004362520220116d1988 uy 0engurnn#008mamaatxtccrThe red book of varieties and schemes /David Mumford1st ed. 1988.Berlin ;Heidelberg :Springer-Verlag,[1988]©19881 online resource (V, 315 p. 13 illus.)Lecture Notes in Mathematics,0075-8434 ;1358Bibliographic Level Mode of Issuance: Monograph3-540-50497-4 Varieties -- 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."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).Lecture Notes in Mathematics,0075-8434 ;1358Geometry, AlgebraicGeometry, Algebraic.516.3514A10msc14A15msc14H10msc14Kxxmsc14Fxxmsc14LxxmscMumford David1937-42095MiAaPQMiAaPQMiAaPQBOOK996466660203316Red book of varieties and schemes78627UNISA