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Autore: | Mumford David <1937-> |
Titolo: | The red book of varieties and schemes / / David Mumford |
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 |
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