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Books, Free Shipping, An Invitation To Algebraic Geometry

Posted at: Offers to Sell and Export | Posted on: Sun 18 Jul, 2010 7:58 am | Product Category: Algebra or pre algebra reference guides [21]
 
books shipping invitation algebraic geometry
Products Photos CatalogBooks Shipping Photos Catalog



Product Description:

Contents:


Notes for the Second Printing

Preface

Acknowledgments

Index of Notation

1

Affine Algebraic Varieties

 1.1 Definition and Examples

 1.2 The Zariski Topology

 1.3 Morphisms of Affine Algebraic Varieties

 1.4 Dimension

2 Algebraic Foundations

 2.1 A Quick Review of Commutative Ring Theory

 2.2 Hilbert's Basis Theorem

 2.3 Hilbert's NuUstellensatz

 2.4 The Coordinate Ring

 2.5 The Equivalence of Algebra and Geometry

 2.6 The Spectrum of a Ring

3 Projective Varieties

 3.1 Projective Space

 3.2 Projective Varieties

 3.3 The Projective Closure of an Affine Variety

 3.4 Morphisms of Projective Varieties

 3.5 Automorphisms of Projective Space

4 Quasi-Projective Varieties

 4.1 Quasi-Projective Varieties

 4.2 A Basis for the Zariski Topology

 4.3 Regular Functions

5 Classical Constructions

 5.1 Veronese Maps

 5.2 Five Points Determine a Conic

 5.3 The Segre Map and Products of Varieties

 5.4 Grassmannians

 5.5 Degree

 5.6 The Hilbert Function

6 Smoothness

 6.1 The Tangent Space at a Point

 6.2 Smooth Points

 6.3 Smoothness in Families

 6.4 Bertini's Theorem

 6.5 The Gauss Mapping

7 Birational Geometry

 7.1 Resolution of Singularities

 7.2 Rational Maps

 7.3 Birational Equivalence

 7.4 Blowing Up Along an Ideal

 7.5 Hypersurfaces

 7.6 The Classification Problems

8 Maps to Projective Space

 8.1 Embedding a Smooth Curve in Three-Space

 8.2 Vector Bundles and Line Bundles

 8.3 The Sections of a Vector Bundle

 8.4 Examples of Vector Bundles

 8.5 Line Bundles and Rational Maps

 8.6 Very Ample Line Bundles

A Sheaves and Abstract Algebraic Varieties

 A.1 Sheaves

 A.2 Abstract Algebraic Varieties

References

Index

Product Details

Author Karen E.Smith

Publisher World Publishing Corporation

Isbn 7510005159, 9787510005152

Published January 2010

Pages 161

Size 24k

Edition First

Format Paperback

Language English

Page material gelatine plate paper



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