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OverviewAuthor Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured. AUTHOR: French-born Serge Lang (19272005) graduated from Cal Tech and received his PhD from Princeton, where he studied under Emil Artin. He taught at the University of Chicago, Columbia, and Yale. Full Product DetailsAuthor: Serge LangPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 15.20cm , Height: 1.60cm , Length: 22.70cm Weight: 0.405kg ISBN: 9780486834221ISBN 10: 0486834220 Pages: 272 Publication Date: 26 April 2019 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationFrench-born Serge Lang (1927-2005) graduated from Cal Tech and received his PhD from Princeton, where he studied under Emil Artin. He taught at the University of Chicago, Columbia, and Yale. Tab Content 6Author Website:Countries AvailableAll regions |
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