Algebraic Geometry : A First Course

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Very good 1 volume, please be aware of language, air mail shipment from Germany within 2-6 weeks, we deliver to any country-please ask us to enable delivery to your country! ... *****PLEASE NOTE: This item is shipping from an authorized seller in Europe. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** Read more Show Less

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Editorial Reviews

Booknews
This textbook is an introduction to algebraic geometry that emphasizes the classical roots of the subject, avoiding the technical details better treated with the most recent methods. It provides a basis for understanding the developments of the last half century which have put the subject on a radically new footing. Based on lectures given at Brown and Harvard, the book retains an informal style and stresses examples. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9783540977162
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 12/1/1995
  • Edition description: Reprint

Table of Contents

Preface
Acknowledgments
Using This Book
Pt. I Examples of Varieties and Maps
Lecture 1 Affine and Projective Varieties 3
Lecture 2 Regular Functions and Maps 17
Lecture 3 Cones, Projections, and More About Products 32
Lecture 4 Families and Parameter Spaces 41
Lecture 5 Ideals of Varieties, Irreducible Decomposition, and the Nullstellensatz 48
Lecture 6 Grassmannians and Related Varieties 63
Lecture 7 Rational Functions and Rational Maps 72
Lecture 8 More Examples 88
Lecture 9 Determinantal Varieties 98
Lecture 10 Algebraic Groups 114
Pt. II Attributes of Varieties
Lecture 11 Definitions of Dimension and Elementary Examples 133
Lecture 12 More Dimension Computations 151
Lecture 13 Hilbert Polynomials 163
Lecture 14 Smoothness and Tangent Spaces 174
Lecture 15 Gauss Maps, Tangential and Dual Varieties 186
Lecture 16 Tangent Spaces to Grassmannians 200
Lecture 17 Further Topics Involving Smoothness and Tangent Spaces 211
Lecture 18 Degree 224
Lecture 19 Further Examples and Applications of Degree 239
Lecture 20 Singular Points and Tangent Cones 251
Lecture 21 Parameter Spaces and Moduli Spaces 266
Lecture 22 Quadrics 282
Hints for Selected Exercises 308
References 314
Index 317
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