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About this book
This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. Even so, a few words are in order about the purposes of the book. Algebraic geometry has developed tremendously over the last century. During the 19th century, the subject was practiced on a relatively concrete, down-to-earth level; the main objects of study were projective varieties, and the techniques for the most part were grounded in geometric constructions. This approach flourished during the middle of the century and reached its culmination in the work of the Italian school around the end of the 19th and the beginning of the 20th centuries. Ultimately, the subject was pushed beyond the limits of its foundations: by the end of its period the Italian school had progressed to the point where the language and techniques of the subject could no longer serve to express or carry out the ideas of its best practitioners.
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Table of contents (22 chapters)
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Front Matter
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Examples of Varieties and Maps
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Front Matter
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Reviews
J. Harris
Algebraic Geometry
A First Course
"This book succeeds brilliantly by concentrating on a number of core topics (the rational normal curve, Veronese and Segre maps, quadrics, projections, Grassmannians, scrolls, Fano varieties, etc.) and by treating them in a hugely rich and varied way. The author ensures that the reader will learn a large amount of classical material and perhaps more importantly, will also learn that there is no one approach to the subject. The essence lies in the range and interplay of possible approaches. The author is to be congratulated on a work of deep and enthusiastic scholarship."—MATHEMATICAL REVIEWS
Authors and Affiliations
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Bibliographic Information
Book Title: Algebraic Geometry
Book Subtitle: A First Course
Authors: Joe Harris
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4757-2189-8
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1992
Hardcover ISBN: 978-0-387-97716-4Published: 17 September 1992
Softcover ISBN: 978-1-4419-3099-6Published: 01 December 2010
eBook ISBN: 978-1-4757-2189-8Published: 11 November 2013
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 1
Number of Pages: XIX, 330
Topics: Algebraic Geometry