E-Book, Englisch, Band 1358, 315 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Mumford The Red Book of Varieties and Schemes
Erscheinungsjahr 2013
ISBN: 978-3-662-21581-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1358, 315 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-662-21581-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
"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)
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
