Introduction to Algebraic Geometry

aw_product_id: 
40323888089
merchant_image_url: 
merchant_category: 
Books
search_price: 
12.49
book_author_name: 
Serge Lang
book_type: 
Paperback
publisher: 
Dover Publications Inc.
published_date: 
26/04/2019
isbn: 
9780486834221
Merchant Product Cat path: 
Books > Science, Technology & Medicine > Mathematics & science > Mathematics > Geometry
specifications: 
Serge Lang|Paperback|Dover Publications Inc.|26/04/2019
Merchant Product Id: 
9780486834221
Book Description: 
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.

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