Universitext

Algebraic Geometry over the Complex Numbers

Authors: Arapura, Donu

  • 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
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eBook $54.99
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  • ISBN 978-1-4614-1809-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Softcover $74.95
price for USA
  • ISBN 978-1-4614-1808-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
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About this Textbook

This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject. It covers sheaf theory, cohomology, some Hodge theory, as well as some of the more algebraic aspects of algebraic geometry. The author frequently refers the reader if the treatment of a certain topic is readily available elsewhere but goes into considerable detail on topics for which his treatment puts a twist or a more transparent viewpoint. His cases of exploration and are chosen very carefully and deliberately. The textbook achieves its purpose of taking new students of complex algebraic geometry through this a deep yet broad introduction to a vast subject, eventually bringing them to the forefront of the topic via a non-intimidating style.

About the authors

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.

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 such an 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)


Table of contents (19 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-1809-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.95
price for USA
  • ISBN 978-1-4614-1808-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Algebraic Geometry over the Complex Numbers
Authors
Series Title
Universitext
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-1809-2
DOI
10.1007/978-1-4614-1809-2
Softcover ISBN
978-1-4614-1808-5
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XII, 329
Number of Illustrations and Tables
16 b/w illustrations, 1 illustrations in colour
Topics