Algebraic geometry
โ Scribed by Daniel Bump
- Book ID
- 127420913
- Publisher
- World Scientific
- Year
- 1998
- Tongue
- English
- Weight
- 2 MB
- Category
- Library
- City
- Singapore; River Edge, N.J
- ISBN
- 9810235615
No coin nor oath required. For personal study only.
โฆ Synopsis
A text for a one-year course at the graduate level, for students with substantial background in algebra. Eight chapters contain material applicable to varieties of every dimension, and six chapters contain material which is particular to the theory of curves. Material considers irreducible varieties over an algebraically closed field, except in one chapter, which works over a finite field. Coverage includes the extension theorem, maps of affine varieties, complete nonsingular curves, and the Riemann-Roch theory. Intersection theory is not covered. Includes chapter exercises. The author teaches mathematics at Stanford University.
๐ SIMILAR VOLUMES
Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. In 1972 he moved to C
Students often find, in setting out to study algebraic geometry, that most of the serious textbooks on the subject require knowledge of ring theory, field theory, local rings and transcendental field extensions, and even sheaf theory. Often the expected background goes well beyond college mathematic