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Intersection Theory - William Fulton
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2012, ISBN: 9781461217008

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Intersection Theory - William Fulton
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William Fulton:
Intersection Theory - new book

2012, ISBN: 9781461217008

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Details of the book
Intersection Theory
Author:
Title:
ISBN:

9781461217008

Details of the book - Intersection Theory


EAN (ISBN-13): 9781461217008
Publishing year: 2012
Publisher: Springer New York

Book in our database since 2016-01-15T13:19:23-05:00 (New York)
Detail page last modified on 2023-04-16T10:11:15-04:00 (New York)
ISBN/EAN: 9781461217008

ISBN - alternate spelling:
978-1-4612-1700-8
Alternate spelling and related search-keywords:
Book author: william fulton
Book title: intersection theory

Information from Publisher

Author: William Fulton
Title: Intersection Theory
Publisher: Springer; Springer US
470 Pages
Publishing year: 2012-12-06
New York; NY; US
Language: English
117,69 € (DE)
121,00 € (AT)
142,00 CHF (CH)
Available
XIII, 470 p.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Arithmetik, Algebra; Algebraische Geometrie; Verstehen; Chern class; Division; Divisor; Equivalence; algebra; algebraic geometry; eXist; equation; form; geometry; history of mathematics; story; vector bundle; B; Algebraic Geometry; Algebraic Geometry; Mathematics and Statistics; BC

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.
The aim of this book is to develop the foundations of intersection 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 this theory. A suggested prerequiste 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 comprehensive treatise of the subject and received the Steele Prize for best exposition in 1996.

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