Intersection theory
著者
書誌事項
Intersection theory
（Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge,
Springer, c1998
2nd ed
- : gw : hardcover
- : us : softcover
並立書誌 全1件
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Intersection theory / William Fulton
BA39987125
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Intersection theory / William Fulton
大学図書館所蔵 件 / 全61件
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名古屋大学 理学 図書室理数理
: gw : hardcoverFUL||10||2-4||3649241205959,
: us : softcoverFUL||10||2-941463953 -
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注記
Includes bibliographical references (p. [442]-461) and index
内容説明・目次
- 巻冊次
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: us : softcover ISBN 9780387985497
内容説明
Intersection theory has played a central role in mathematics, from the ancient origins of algebraic geometry in the solutions of polynomial equations to the triumphs of algebraic geometry during the last two centuries. This book develops the foundations of the theory and indicates the range of classical and modern applications. The hardcover edition received the prestigious Steele Prize in 1996 for best exposition.
目次
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.
- 巻冊次
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: gw : hardcover ISBN 9783540620464
内容説明
From the ancient origins of algebraic geometry in the solutions of polynomial equations, through the triumphs of algebraic geo metry during the last two centuries, intersection theory has played a central role. The aim of this text 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.
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