Algebraic Geometry (Paperback)

Solomon Lefschetz

ISBN 10: 0486446115 / ISBN 13: 9780486446110

Published by Dover Publications Inc., New York, 2006

About this Item

Paperback. This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts - the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra. The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface. An introduction to algebraic geometry and a bridge between its analytical-topological and algebraical aspects, this text for advanced undergraduate students is particularly relevant to those more familiar with analysis than algebra. 1953 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9780486446110

Bibliographic Details

• Title: Algebraic Geometry (Paperback)
• Publisher: Dover Publications Inc., New York
• Publication Date: 2006
• Language: English
• ISBN 10: 0486446115
• ISBN 13: 9780486446110
• Binding: Paperback
• Condition: new

About this title

Synopsis

This text for advanced undergraduate students is both an introduction to algebraic geometry and a bridge between its two parts — the analytical-topological and the algebraic. Because of its extensive use of formal power series (power series without convergency), the treatment will appeal to readers conversant with analysis but less familiar with the formidable techniques of modern algebra.
The book opens with an overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point, dimension, function field, rational transformations, and correspondences. A concentrated chapter on formal power series with applications to algebraic varieties follows. An extensive survey of algebraic curves includes places, linear series, abelian differentials, and algebraic correspondences. The text concludes with an examination of systems of curves on a surface.