Georg Hein
Preprint series: Institut für Mathematik, Humboldt-Universität
zu Berlin (ISSN 0863-0976), 2001-18, 9 pages
MSC 2000
-
14C17 Intersection theory, characteristic classes, intersection multiplicities
-
14N10 Enumerative problems (combinatorial problems)
Abstract
We
develop a formula (Theorem 5.1) which allows to compute top Chern classes
of vector bundles on the vanishing locus V(s) of a section of this bundle.
This formula particularly applies in the case when V(s) is the union of
locally complete intersections giving the individual contribution of each
component and their mutual intersections. We conclude with applications
to the enumeration of rational curves in complete intersections in projective
space.
Keywords:Residual
intersection, reducible cycle, counting rational curves
Notes
9
pages