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Dover Books on Mathematics Ser.: Introduction to Algebraic Geometry by Serge Lang (2019, Trade Paperback)
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About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486834220
ISBN-139780486834221
eBay Product ID (ePID)2309342526
Product Key Features
Number of Pages272 Pages
LanguageEnglish
Publication NameIntroduction to Algebraic Geometry
SubjectRéférence, Study & Teaching, Geometry / Algebraic
Publication Year2019
TypeTextbook
AuthorSerge Lang
Subject AreaMathematics
SeriesDover Books on Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight12.9 Oz
Item Length9 in
Item Width6 in
Additional Product Features
Intended AudienceTrade
LCCN2018-040328
Dewey Edition23
IllustratedYes
Dewey Decimal516.3/5
Table Of ContentPreface Prerequisites I. General Theory of Places II. Algebraic Varieties III. Absolute Theory of Varieties IV. Products, Projections, and Correspondences V. Nomal Varieties VI. Divisors and Linear Systems VII. Differential Forms VIII. Theory of Simple Points IX. Algebraic Groups X. Riemann-Roch Theorem Index
SynopsisAuthor 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 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., Rapid, concise, self-contained introduction assumes only familiarity with elementary algebra. Subjects include algebraic varieties; products, projections, and correspondences; normal varieties; differential forms; theory of simple points; algebraic groups; more. 1958 edition.
LC Classification NumberQA564.L3 2019
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