Algebraic Geometry I
Algebraic Curves. Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences)
1st ed. 1994. 2nd printing edition
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Author
Contributions
- V.I. Danilov (Contributor) - Contributor
- V.V. Shokurov (Contributor) - Contributor
- I.R. Shafarevich (Editor) - Contributor
- D. Coray (Translator) - Contributor
- V.N. Shokurov (Translator) - Contributor
Publication
1994 - Springer
Language
English
Word Count
76,750 words, Guess
Page Count
307 pages
Physical Format
Hardcover
Identifiers
- Open LibraryOL12775945M
- ISBN-139783540519959
- ISBN-103540519955
- OCLC Control Number28257627
- Library of Congress Control Number93004995
and 2 more
- Goodreads4659281
- LibraryThing6240125
Classifications
- LCCQA564-609QA299.6-433
- LCCQA565 .A4413 1994
Description
This book consists of two parts. The first is devoted to the theory of curves, which are treated from both the analytic and algebraic points of view. Starting with the basic notions of the theory of Riemann surfaces the reader is lead into an exposition covering the Riemann-Roch theorem, Riemann's fundamental existence theorem, uniformization and automorphic functions. The algebraic material also treats algebraic curves over an arbitrary field and the connection between algebraic curves and Abelian varieties. The second part is an introduction to higher-dimensional algebraic geometry. The author deals with algebraic varieties, the corresponding morphisms, the theory of coherent sheaves and, finally, the theory of schemes. This book is a very readable introduction to algebraic geometry and will be immensely useful to mathematicians working in algebraic geometry and complex analysis and especially to graduate students in these fields.
Subjects
Topics
Other Editions
- Algebraic Geometry I: Algebraic Curves. Algebraic Manifolds and Schemes (Encyclopaedia of Mathematical Sciences)
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