The red book of varieties and schemes / / David Mumford

• Autore: Mumford David <1937->
• Pubblicazione: Berlin ; ; Heidelberg : , : Springer-Verlag, , [1988]; ©1988
• Edizione: 1st ed. 1988.
• Descrizione fisica: 1 online resource (V, 315 p. 13 illus.)
• Disciplina: 516.35
• Soggetto topico: Geometry, Algebraic
• Classificazione: 14A10; 14A15; 14H10; 14Kxx; 14Fxx; 14Lxx
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: 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.
• Sommario/riassunto: "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).
• Titolo autorizzato: Red book of varieties and schemes
• ISBN: 3-662-21581-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466660203316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1358