Introduction to algebraic geometry / Steven Dale Cutkosky.
By: Cutkosky, Steven Dale [author.].
Material type: TextSeries: Graduate studies in mathematics ; volume 188.Publisher: Providence, Rhode Island : American Mathematical Society, [2018]Description: xii, 484 pages ; USD 83.00 27 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470435189 (hardback : alkpaper).Other title: Algebraic geometry.Subject(s): Geometry, Algebraic | Algebraic geometry -- Instructional exposition (textbooks, tutorial papers, etc.)DDC classification: 516.3/5 Other classification: 14-01Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
Book | Chennai Mathematical Institute General Stacks | 516.35 CUT (Browse shelf) | Available | 10799 |
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.