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Algebraic geometry : a first course

Author: Joe Harris
Publisher: New York ; Heidelberg : Springer, [ca. 2006]
Series: Graduate texts in mathematics, 133.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

"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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Joe Harris
ISBN: 0387977163 9780387977164 3540977163 9783540977162
OCLC Number: 315899552
Description: XIX, 328 Seiten : Diagramme.
Contents: 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.
Series Title: Graduate texts in mathematics, 133.
Responsibility: Joe Harris.
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J. HarrisAlgebraic GeometryA First Course"This book succeeds brilliantly by concentrating on a number of core topics (the rational normal curve, Veronese and Segre maps, quadrics, projections, Read more...

 
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