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Books, Free Shipping, The Geometry Of Schemes

Posted at: Offers to Sell and Export | Posted on: Mon 12 Jul, 2010 8:43 am | Product Category: Reference books [3760]
 
books shipping geometry schemes
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Product Description:

Contents:


I Basic Definitions

I.1 Affine Schemes

I.1.1 Schemes as Sets

I.1.2

Schemes as Topological Spaces

I.1.3 An Interlude on Sheaf Theory References for the Theory of Sheaves

I.1.4 Schemes as Schemes (Structure Sheaves)

I.2 Schemes in General

I.2.1 Subschemes

I.2.2 The Local Ring at a Point

I.2.3 Morphisms

I.2.4 The Gluing Construction Projective Space

I.3 Relative Schemes

I.3.1 Fibered Products

I.3.2 The Category of S-Schemes

I.3.3 Global Spec

I.4 The Functor of Points

II Examples

II.1 Reduced Schemes over Algebraically Closed Fields

II. 1.1 Affine Spaces

II.1.2 Local Schemes

II.2 Reduced Schemes over Non-Algebraically Closed Fields

II.3 Nonreduced Schemes

II.3.1 Double Points

II.3.2 Multiple Points Degree and Multiplicity

II.3.3 Embedded Points Primary Decomposition

II.3.4 Flat Families of Schemes

Limits

Examples

Flatness

II.3.5 Multiple Lines

II.4 Arithmetic Schemes

II.4.1 Spec Z

II.4.2 Spec of the Ring of Integers in a Number Field

II.4.3 Affine Spaces over Spec Z

II.4.4 A Conic over Spec Z

II.4.5 Double Points in Al

III Projective Schemes

III.1 Attributes of Morphisms

III.1.1 Finiteness Conditions

III.1.2 Properness and Separation

III.2 Proj of a Graded Ring

III.2.1 The Construction of Proj S

III.2.2 Closed Subschemes of Proj R

III.2.3 Global Proj

Proj of a Sheaf of Graded 0x-Algebras

The Projectivization P(ε) of a Coherent Sheaf ε

III.2.4 Tangent Spaces and Tangent Cones

Affine and Projective Tangent Spaces

Tangent Cones

III.2.5 Morphisms to Projective Space

III.2.6 Graded Modules and Sheaves

III.2.7 Grassmannians

III.2.8 Universal Hypersurfaces

III.3 Invariants of Projective Schemes

III.3.1 Hilbert Functions and Hilbert Polynomials

1II.3.2 Flatness Il: Families of Projective Schemes

III.3.3 Free Resolutions

III.3.4 Examples

Points in the Plane

Examples: Double Lines in General and in p3

III.3.5 BEzout's Theorem

Multiplicity of Intersections

III.3.6 Hilbert Series

IV Classical Constructions

V Local Constructions

VI Schemes and Functors

References

Index

Product Details

Author David Eisebud

Publisher World Publishing Corporation

Isbn 7510004748, 9787510004742

Published January 2010

Pages 294

Size 24k

Edition First

Format Paperback

Language English

Page material gelatine plate paper



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