Introduction to algebraic geometry
Material type: TextLanguage: English Series: Graduate studies in mathematics ; volume 188Publication details: Providence American Mathematical Society 2018Description: xii, 484 pagesISBN: 9781470435189 (hardback Other title: Algebraic geometrySubject(s): Geometry, Algebraic | Algebraic geometry -- Instructional exposition (textbooks, tutorial papers, etc.) | MathematicsCurrent library | Home library | Call number | Materials specified | Status | Date due | Barcode |
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IMSc Library | IMSc Library | 512.7 CUT (Browse shelf (Opens below)) | Available | 74697 |
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.
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