Algebraic Geometry - Brossura

Lefschetz, Solomon

Brossura

ISBN 10: 0486446115 ISBN 13: 9780486446110

Casa editrice: Dover Pubns, 2005

Riassunto

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.

Su questo libro

Contenuti:

Preface 1. Algebraic Foundations 2. Algebraic Varieties: Fundamental Concepts 3. Transformations of Algebraic Varieties 4. Formal Power Series 5. Algebraic Curves, Their Places and Transformations 6. Linear Series 7. Abelian Differentials 8. Abel’s Theorem. Algebraic Series and Correspondences 9. Systems of Curves on a Surface Appendix Bibliography List of symbols most frequently used in the text Index

Product Description:

Book by Solomon Lefschetz

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2005
• ISBN 10: 0486446115
• ISBN 13: 9780486446110
• Rilegatura: Copertina flessibile
• Numero di pagine: 233