William Fulton: Intersection Theory

Cover: 9780387985497 | Intersection Theory | William Fulton | Taschenbuch | Paperback | XIII

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Beschreibung

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.

Zusammenfassung

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.

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	1998
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xiii 470 S.
ISBN-13:	9780387985497
ISBN-10:	0387985492
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Fulton, William
Auflage:	2nd ed. 1998
Hersteller:	Springer New York Springer US, New York, N.Y.
Maße:	235 x 155 x 27 mm
Von/Mit:	William Fulton
Erscheinungsdatum:	26.06.1998
Gewicht:	0,733 kg

Artikel-ID: 106873024

Zusammenfassung

Inhaltsverzeichnis

Details

Erscheinungsjahr:	1998
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xiii 470 S.
ISBN-13:	9780387985497
ISBN-10:	0387985492
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Fulton, William
Auflage:	2nd ed. 1998
Hersteller:	Springer New York Springer US, New York, N.Y.
Maße:	235 x 155 x 27 mm
Von/Mit:	William Fulton
Erscheinungsdatum:	26.06.1998
Gewicht:	0,733 kg