The Resource Intersection Theory, by William Fulton, (electronic resource)

Intersection Theory, by William Fulton, (electronic resource)

Label
Intersection Theory
Title
Intersection Theory
Statement of responsibility
by William Fulton
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geometry during the last two centuries, intersection theory has played a central role. The aim of this book is to develop the foundations of this theory, and to indicate the range of classical and modern applications. Although a comprehensive history of this vast subject is not attempted, the author points out some of the striking early appearances of the ideas of intersection theory. A suggested prerequisite for the reading of this book is a first course in algebraic geometry. Fulton's introduction to intersection theory has been well used for more than 10 years. It is still the only existing complete modern treatise of the subject and received the Steele Prize for best exposition in August 1996
Member of
http://library.link/vocab/creatorName
Fulton, William
Dewey number
516.35
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
7-fOnfSeuB8
Image bit depth
0
Language note
English
LC call number
QA564-609
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Ergebnisse der Mathematik und ihrer Grenzgebiete,
Series volume
Dritte Folge, volume 2
http://library.link/vocab/subjectName
  • Geometry, algebraic
  • Algebraic Geometry
Label
Intersection Theory, by William Fulton, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1. Rational Equivalence -- 2. Divisors -- 3. Vector Bundles and Chern Classes -- 4. Cones and Segre Classes -- 5. Deformation to the Normal Cone -- 6. Intersection Products -- 7. Intersection Multiplicities -- 8. Intersections on Non-singular Varieties -- 9. Excess and Residual Intersections -- 10. Families of Algebraic Cycles -- 11. Dynamic Intersections -- 12. Positivity -- 13. Rationality -- 14. Degeneracy Loci and Grassmannians -- 15. Riemann-Roch for Non-singular Varieties -- 16. Correspondences -- 17. Bivariant Intersection Theory -- 18. Riemann-Roch for Singular Varieties -- 19. Algebraic, Homological and Numerical Equivalence -- 20. Generalizations -- Appendix A. Algebra -- Appendix B. Algebraic Geometry (Glossary) -- Notation
Dimensions
unknown
Edition
Second Edition.
Extent
1 online resource (XIII, 470 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461217008
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-1700-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089662
  • (SSID)ssj0001297168
  • (PQKBManifestationID)11725916
  • (PQKBTitleCode)TC0001297168
  • (PQKBWorkID)11353958
  • (PQKB)11790575
  • (DE-He213)978-1-4612-1700-8
  • (MiAaPQ)EBC3076261
  • (EXLCZ)993400000000089662
Label
Intersection Theory, by William Fulton, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
1. Rational Equivalence -- 2. Divisors -- 3. Vector Bundles and Chern Classes -- 4. Cones and Segre Classes -- 5. Deformation to the Normal Cone -- 6. Intersection Products -- 7. Intersection Multiplicities -- 8. Intersections on Non-singular Varieties -- 9. Excess and Residual Intersections -- 10. Families of Algebraic Cycles -- 11. Dynamic Intersections -- 12. Positivity -- 13. Rationality -- 14. Degeneracy Loci and Grassmannians -- 15. Riemann-Roch for Non-singular Varieties -- 16. Correspondences -- 17. Bivariant Intersection Theory -- 18. Riemann-Roch for Singular Varieties -- 19. Algebraic, Homological and Numerical Equivalence -- 20. Generalizations -- Appendix A. Algebra -- Appendix B. Algebraic Geometry (Glossary) -- Notation
Dimensions
unknown
Edition
Second Edition.
Extent
1 online resource (XIII, 470 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461217008
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-1700-8
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000089662
  • (SSID)ssj0001297168
  • (PQKBManifestationID)11725916
  • (PQKBTitleCode)TC0001297168
  • (PQKBWorkID)11353958
  • (PQKB)11790575
  • (DE-He213)978-1-4612-1700-8
  • (MiAaPQ)EBC3076261
  • (EXLCZ)993400000000089662

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