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Introduction to algebraic geometry / Steven Dale Cutkosky.
Math/Physics/Astronomy Library QA564 .C8794 2018
By Request
- Format:
- Book
- Author/Creator:
- Cutkosky, Steven Dale, author.
- Series:
- Graduate studies in mathematics ; v. 188.
- Graduate studies in mathematics ; 188
- Language:
- English
- Subjects (All):
- Geometry, Algebraic.
- Physical Description:
- xii, 484 pages ; 27 cm.
- Other Title:
- Algebraic geometry
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2018]
- Contents:
- Introduction
- A crash course in commutative algebra
- Ane varieties
- Projective varieties
- Regular and rational maps of quasi projective varieties
- Products
- The blow up of an ideal
- Finite maps of quasi projective varieties
- Dimension of quasi projective algebraic sets
- Zariski's main theorem
- Nonsingularity
- Sheaves
- Applications to regular and rational maps
- Divisors
- Dierential forms and the canonical divisor
- Schemes
- The degree of a projective variety
- Cohomology
- Curves
- An introduction to intersection theory
- Surfaces
- Ramication and etale maps
- Bertini's theorems and general fibers of maps.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 9781470435189
- 1470435187
- OCLC:
- 1013506217
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