Algebraic and Analytic Geometry by Amnon Neeman

Algebraic and Analytic Geometry by Amnon Neeman

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Summary

It is natural to approach algebraic geometry by highlighting the way it connects algebra and analysis. Serre's GAGA theorem encapsulates this connection and provides the unifying theme for this book, which develops the modern machinery of algebraic geometry needed to give a proof, at a level accessible to undergraduates throughout.

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Algebraic and Analytic Geometry by Amnon Neeman

This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAGA theorem, which perhaps best encapsulates the link between algebra and analysis. GAGA provides the unifying theme of the book: we develop enough of the modern machinery of algebraic geometry to be able to give an essentially complete proof, at a level accessible to undergraduates throughout. The book is based on a course which the author has taught, twice, at the Australian National University.
'All in all, the book under review is a masterpiece of expository writing in modern algebraic geometryIt is exactly what the author promised: no comprehensive text to train future algebraic geometers, but rather an attempt to convince students of the fascinating beauty, the tremendous power, and the high value of the methods of algebraic and analytic geometry. The author has reached his declared goal in an admirable, truly brilliant manner. His lucid exposition of these modern, fairly advanced topics in the field for beginners breathes his passion for the subject and for grippingly teaching it, and his style of writing bespeaks a good sympathetic understanding of students and their needs.' Werner Kleinert, Zentralblatt MATH
'… 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
Amnon Neeman is professor of mathematics at Australian National University. He is the author of the book Triangulated Categories.
SKU Unavailable
ISBN 13 9780521709835
ISBN 10 0521709830
Title Algebraic and Analytic Geometry
Author Amnon Neeman
Series London Mathematical Society Lecture Note Series
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 2007-09-13
Number of pages 434
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable