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Algebraic geometry : a first course

Author: Joe Harris
Publisher: New York : Springer-Verlag, ©1992.
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: 24429488
Description: xix, 328 pages : illustrations ; 25 cm.
Contents: pt. 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 --
pt. 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.
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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