Coverart for item
The Resource A royal road to algebraic geometry, Audun Holme

A royal road to algebraic geometry, Audun Holme

Label
A royal road to algebraic geometry
Title
A royal road to algebraic geometry
Statement of responsibility
Audun Holme
Creator
Subject
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
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 357-358) 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 Riemann-Roch 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
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 357-358) 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 Riemann-Roch 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

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...