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Catalogue Information
Nome campo	dettagli
Dewey Class	516.35
Titolo	Intersection Theory ([EBook]) / by William Fulton.
Autore	Fulton, William, , 1939-
Other name(s)	SpringerLink (Online service)
Edition statement	Second Edition.
Pubblicazione	New York, NY : Springer , 1998.
Physical Details	XIII, 470 pages : online resource.
ISBN	9781461217008
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4612-1700-8
Link alle Opere Legate	Riferimenti soggetto: . Algebraic Geometry . Mathematics . Authors: Fulton, William, 1939- . Fulton, William, 1939- . Corporate Authors: SpringerLink (Online service) . Classification: 516.35 .

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Intersection Theory

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