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The Red Book of Varieties and Schemes / by David Mumford.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Mumford, David, 1937- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1358.
- Lecture Notes in Mathematics, 0075-8434 ; 1358
- Language:
- English
- Subjects (All):
- Geometry, Algebraic.
- Algebraic Geometry.
- Local Subjects:
- Algebraic Geometry.
- Physical Description:
- 1 online resource (V, 315 pages 13 illustrations).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.
- System Details:
- text file PDF
- Summary:
- "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).
- Contents:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783662215814
- Access Restriction:
- Restricted for use by site license.
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