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Introduction to algebraic geometry / Steven Dale Cutkosky.

By: Cutkosky, Steven Dale [author.].
Material type: TextTextSeries: 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: 14-01
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.
List(s) this item appears in: 2020-03-06
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 02/08/2021 10799
Total holds: 0

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.