Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
Catalogue Tag Display
Catalogue Tag Display
MARC 21
Intersection Theory
Tag
Description
020
$a9783662024218
082
$a516.35
099
$aOnline resource: Springer
100
$aFulton, William.$d1939-
245
$aIntersection Theory$h[EBook]$cby William Fulton.
250
$a3. Folge.
260
$aBerlin, Heidelberg$bSpringer$c1984.
300
$aXI, 472 pages, 3 illus.$bonline resource.
336
$atext
338
$aonline resource
440
$aErgebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics,$x0071-1136 ;$v2
505
$a
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 -- Summary -- A.1 Length -- A.2 Herbrand Quotients -- A.3 Order Functions -- A.4 Flatness -- A.5 Koszul Complexes -- A.6 Regular Sequences -- A.7 Depth -- A.8 Normal Domains -- A.9 Determinantal Identities -- Notes and References -- Appendix B. Algebraic Geometry (Glossary) -- B.1 Algebraic Schemes -- B.2 Morphisms -- B.3 Vector Bundles -- B.4 Cartier Divisors -- B.5 Projective Cones and Bundles -- B.6 Normal Cones and Blowing Up -- B.7 Regular Imbeddings and l.c.i. Morphisms -- B.8 Bundles on Imbeddable Schemes -- B.9 General Position -- Notation.
520
$a
From the ancient origins of algebraic geometry in the solution of polynomial equations, through the triumphs of algebraic geometry during the last two cen turies, intersection theory has played a central role. Since its role in founda tional crises has been no less prominent, the lack of a complete modern treatise on intersection theory has been something of an embarrassment. 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 his tory of this vast subject is not attempted, we have tried to point out some of the striking early appearances of the ideas of intersection theory. Recent improvements in our understanding not only yield a stronger and more useful theory than previously available, but also make it possible to devel op the subject from the beginning with fewer prerequisites from algebra and algebraic geometry. It is hoped that the basic text can be read by one equipped with a first course in algebraic geometry, with occasional use of the two appen dices. Some of the examples, and a few of the later sections, require more spe cialized knowledge. The text is designed so that one who understands the con structions and grants the main theorems of the first six chapters can read other chapters separately. Frequent parenthetical references to previous sections are included for such readers. The summaries which begin each chapter should fa cilitate use as a reference.
538
$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710
$aSpringerLink (Online service)
830
$aErgebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics,$v2
856
$u
http://dx.doi.org/10.1007/978-3-662-02421-8
Quick Search
Search for