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Portion of title |
Algebraic geometry |
Series |
Graduate studies in mathematics ; volume 188 Graduate studies in mathematics ; volume 188. ^A347883
|
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. |
Bibliography note | Includes bibliographical references and index. |
LCCN | 2017045552 |
ISBN | 9781470435189 (alk. paper) |
ISBN | 1470435187 |