Overview
- Contains a rapid introduction to complex algebraic geometry Includes background material on topology, manifold theory and sheaf theory
- Analytic and algebraic approaches are developed somewhat in parallel
- Easy-going style will not intimidate newcomers to algebraic geometry
- Includes supplementary material: sn.pub/extras
Part of the book series: Universitext (UTX)
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Table of contents (19 chapters)
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Front Matter
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Introduction through Examples
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Front Matter
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Sheaves and Geometry
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Front Matter
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Coherent Cohomology
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Front Matter
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Keywords
About this book
Reviews
From the reviews:
“The book under review evolved from various courses in algebraic geometry the author taught at Purdue University. It is intended for graduate level courses on algebraic geometry over C. … Every section of each chapter ends with a series of exercises that complement the treated material, sometimes asking to give proofs of stated results. … This work can serve as a textbook in an introductory course in algebraic geometry with a strong emphasis on its transcendental aspects, or as a reference book on the subject.” (Pietro De Poi, Mathematical Reviews, June, 2013)
“Masterful mathematical expositors guide readers along a meaningful journey. … Every student should read this book first before grappling with any of those bibles. … This is an advanced book in its own right … . Arapura’s knack for doing things in the simplest possible way and explaining the ‘why’ makes for much easier reading than one might reasonably expect. Summing Up: Highly recommended. Upper-division undergraduates and above.” (D. V. Feldman, Choice, Vol. 50 (5), January, 2013)
“The book under review is a welcome addition to the literature on complex algebraic geometry. The approach chosen by the author balances the algebraic and transcendental approaches and unifies them by using sheaf theoretical methods. … This is a well-written text … with plenty of examples to illustrate the ideas being discussed.” (Felipe Zaldivar, The Mathematical Association of America, June, 2012)
“Book provides a very lucid, vivid, and versatile first introduction to algebraic geometry, with strong emphasis on its transcendental aspects. The author provides a broad panoramic view of the subject, illustrated with numerous instructive examples and interlarded with a wealth of hints for further reading. Indeed, the balance between rigor, intuition, and completeness in the presentation of the material is absolutely reasonable for suchan introductory course book, and … it may serve as an excellent guide to the great standard texts in the field.” (Werner Kleinert, Zentralblatt MATH, Vol. 1235, 2012)
Authors and Affiliations
About the author
Donu Arapura is a Professor of Mathematics at Purdue University. He received his Ph.D. from Columbia University in 1985. Dr. Arapura’s primary research includes algebraic geometry, and he has written and co-written several publications ranging from Hodge cycles to cohomology.
Bibliographic Information
Book Title: Algebraic Geometry over the Complex Numbers
Authors: Donu Arapura
Series Title: Universitext
DOI: https://doi.org/10.1007/978-1-4614-1809-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2012
Softcover ISBN: 978-1-4614-1808-5Published: 10 February 2012
eBook ISBN: 978-1-4614-1809-2Published: 15 February 2012
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XII, 329
Number of Illustrations: 16 b/w illustrations, 1 illustrations in colour
Topics: Algebraic Geometry, Several Complex Variables and Analytic Spaces, Topology