The Resource A royal road to algebraic geometry, Audun Holme
A royal road to algebraic geometry, Audun Holme
Resource Information
The item A royal road to algebraic geometry, Audun Holme represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item A royal road to algebraic geometry, Audun Holme represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: "There is no royal road to geometry!" The book starts by explaining this enigmatic answer, the aim of the book being to ague that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck's theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!P. 4 of cover
 Language
 eng
 Extent
 1 online resource (xiii, 364 pages)
 Contents

 pt. I: Curves
 1. Affine and Projective Space
 2. Curves in A2 [subscript k] and in P2 [subscript k]
 3. Higher Geometry in the Projective Plane
 4. Plane Curves and Algebra
 5. Projective Varieties in P [superscript] N [subscript] k
 pt. II: Introduction to Grothendieck's Theory of Schemes
 6. Categories and Functors
 7. Constructions and Representable
 8. Abelian Categories
 9. The Concept of Spec(A)
 10. The Category of Schemes
 11. Properties of Morphisms of Schemes
 12. Modules, Algebras and Bundles on a. Scheme
 13. More Properties of Morphisms, Scheme Theoretic Image and the "Sorite"
 14. Projective Schemes and Bundles
 15. Further Properties of Morphisms
 16. Conormal Sheaf and Projective Bundles
 17. Cohomology Theory on Schemes
 18. Intersection Theory
 19. Characteristic Classes in Algebraic Geometry
 20. The RiemannRoch Theorem
 21. Some Basic Constructions in the Category of Projective k
 22. More on Duality
 Isbn
 9783642192241
 Label
 A royal road to algebraic geometry
 Title
 A royal road to algebraic geometry
 Statement of responsibility
 Audun Holme
 Language
 eng
 Summary
 This book is about modern algebraic geometry. The title A Royal Road to Algebraic Geometry is inspired by the famous anecdote about the king asking Euclid if there really existed no simpler way for learning geometry, than to read all of his work Elements. Euclid is said to have answered: "There is no royal road to geometry!" The book starts by explaining this enigmatic answer, the aim of the book being to ague that indeed, in some sense there is a royal road to algebraic geometry. From a point of departure in algebraic curves, the exposition moves on to the present shape of the field, culminating with Alexander Grothendieck's theory of schemes. Contemporary homological tools are explained. The reader will follow a directed path leading up to the main elements of modern algebraic geometry. When the road is completed, the reader is empowered to start navigating in this immense field, and to open up the door to a wonderful field of research. The greatest scientific experience of a lifetime!P. 4 of cover
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Holme, Audun
 Dewey number
 516.3/5
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA564
 LC item number
 .H65 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Geometry, Algebraic
 Mathematical Concepts
 Mathematics
 Geometry, Algebraic
 Label
 A royal road to algebraic geometry, Audun Holme
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 357358) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 pt. I: Curves  1. Affine and Projective Space  2. Curves in A2 [subscript k] and in P2 [subscript k]  3. Higher Geometry in the Projective Plane  4. Plane Curves and Algebra  5. Projective Varieties in P [superscript] N [subscript] k  pt. II: Introduction to Grothendieck's Theory of Schemes  6. Categories and Functors  7. Constructions and Representable  8. Abelian Categories  9. The Concept of Spec(A)  10. The Category of Schemes  11. Properties of Morphisms of Schemes  12. Modules, Algebras and Bundles on a. Scheme  13. More Properties of Morphisms, Scheme Theoretic Image and the "Sorite"  14. Projective Schemes and Bundles  15. Further Properties of Morphisms  16. Conormal Sheaf and Projective Bundles  17. Cohomology Theory on Schemes  18. Intersection Theory  19. Characteristic Classes in Algebraic Geometry  20. The RiemannRoch Theorem  21. Some Basic Constructions in the Category of Projective k  22. More on Duality
 Control code
 757371622
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 364 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783642192241
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)757371622
 Label
 A royal road to algebraic geometry, Audun Holme
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 357358) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 pt. I: Curves  1. Affine and Projective Space  2. Curves in A2 [subscript k] and in P2 [subscript k]  3. Higher Geometry in the Projective Plane  4. Plane Curves and Algebra  5. Projective Varieties in P [superscript] N [subscript] k  pt. II: Introduction to Grothendieck's Theory of Schemes  6. Categories and Functors  7. Constructions and Representable  8. Abelian Categories  9. The Concept of Spec(A)  10. The Category of Schemes  11. Properties of Morphisms of Schemes  12. Modules, Algebras and Bundles on a. Scheme  13. More Properties of Morphisms, Scheme Theoretic Image and the "Sorite"  14. Projective Schemes and Bundles  15. Further Properties of Morphisms  16. Conormal Sheaf and Projective Bundles  17. Cohomology Theory on Schemes  18. Intersection Theory  19. Characteristic Classes in Algebraic Geometry  20. The RiemannRoch Theorem  21. Some Basic Constructions in the Category of Projective k  22. More on Duality
 Control code
 757371622
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 364 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783642192241
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other physical details
 illustrations
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)757371622
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/AroyalroadtoalgebraicgeometryAudun/znHMUF377CQ/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/AroyalroadtoalgebraicgeometryAudun/znHMUF377CQ/">A royal road to algebraic geometry, Audun Holme</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>