Algebraic Geometry
A First Course
1st Edition
Published on 1. December 2010
Book
Paperback/Softback
XIX, 330 pages
978-1-4419-3099-6 (ISBN)
Description
"This book succeeds brilliantly by concentrating on a number of core topics.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
Reviews / Votes
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 REVIEWSMore details
Product info
Previously published in hardcover
Series
Edition
1st ed. 1992. Corr. 3rd printing. Softcover version of original hardcover edition 1992
Language
English
Place of publication
New York, NY
United States
Target group
Graduate
Product notice
Paperback (trade)
Illustrations
biography
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 18 mm
Weight
532 gr
ISBN-13
978-1-4419-3099-6 (9781441930996)
DOI
10.1007/978-1-4757-2189-8
Schweitzer Classification
Other editions
Additional editions
Book
12/1995
1st Edition
Springer
€64.19
Shipment within 5-7 days
Content
I: Examples of Varieties and Maps.- Lecture 1 Affine and Projective Varieties.- Lecture 2 Regular Functions and Maps.- Lecture 3 Cones, Projections, and More About Products.- Lecture 4 Families and Parameter Spaces.- Lecture 5 Ideals of Varieties, Irreducible Decomposition, and the Nullstellensatz.- Lecture 6 Grassmannians and Related Varieties.- Lecture 7 Rational Functions and Rational Maps.- Lecture 8 More Examples.- Lecture 9 Determinantal Varieties.- Lecture 10 Algebraic Groups.- II: Attributes of Varieties.- Lecture 11 Definitions of Dimension and Elementary Examples.- Lecture 12 More Dimension Computations.- Lecture 13 Hilbert Polynomials.- Lecture 14 Smoothness and Tangent Spaces.- Lecture 15 Gauss Maps, Tangential and Dual Varieties.- Lecture 16 Tangent Spaces to Grassmannians.- Lecture 17 Further Topics Involving Smoothness and Tangent Spaces.- Lecture 18 Degree.- Lecture 19 Further Examples and Applications of Degree.- Lecture 20 Singular Points and Tangent Cones.- Lecture 21 Parameter Spaces and Moduli Spaces.- Lecture 22 Quadrics.- Hints for Selected Exercises.- References.