Introduction to Algebraic Geometry

Nonfiction, Science & Nature, Mathematics, Reference, Geometry, Study & Teaching
Cover of the book Introduction to Algebraic Geometry by Serge Lang, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Serge Lang ISBN: 9780486839806
Publisher: Dover Publications Publication: March 20, 2019
Imprint: Dover Publications Language: English
Author: Serge Lang
ISBN: 9780486839806
Publisher: Dover Publications
Publication: March 20, 2019
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book King Lear by Serge Lang
Cover of the book Mother Earth's Children by Serge Lang
Cover of the book Platero and I/Platero y yo by Serge Lang
Cover of the book Songs for the Open Road by Serge Lang
Cover of the book Mathematics for the General Reader by Serge Lang
Cover of the book Turn-of-the-Century House Designs by Serge Lang
Cover of the book Transport Processes in Chemically Reacting Flow Systems by Serge Lang
Cover of the book Cup and Saucer Chemistry by Serge Lang
Cover of the book Heidi by Serge Lang
Cover of the book Suppression of the African Slave-Trade to the United States of America by Serge Lang
Cover of the book Uncle Paul by Serge Lang
Cover of the book The World's Greatest Short Stories by Serge Lang
Cover of the book The Traffic Assignment Problem by Serge Lang
Cover of the book Argentine Indian Art by Serge Lang
Cover of the book Candide by Serge Lang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy