Introduction to algebraic geometry / Steven Dale Cutkosky.
By: Cutkosky, Steven Dale [author.].
Material type:
Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
Book | Chennai Mathematical Institute General Stacks | 516.35 CUT (Browse shelf) | Checked out | 30/03/2023 | 10799 |
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Includes bibliographical references and index.
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.