Algebraic and Analytic Geometry

ISBN-13: 9780521709835 / Angielski / Miękka / 2007 / 434 str.

Opis

Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Recenzje

'… written in a very understandable way, with a lot of details and with many remarks and comments helping to develop intuition for the field. It is an extraordinary book …' European Mathematical Society Newsletter

Spis treści

Foreword; 1. Introduction; 2. Manifolds; 3. Schemes; 4. The complex topology; 5. The analytification of a scheme; 6. The high road to analytification; 7. Coherent sheaves; 8. Projective space - the statements; 9. Projective space - the proofs; 10. The proof of GAGA; Appendix. The proofs concerning analytification; Bibliography; Glossary; Index.