10.18452/2643
Hein, Georg
Residual intersection theory with reducible schemes
Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
2001
Residual intersection
reducible cycle
counting rational curves
510 Mathematik
27 Mathematik
Humboldt-Universität zu Berlin
Humboldt-Universität zu Berlin
2017-06-15
2017-06-15
2005-11-07
2001-11-07
0863-0976
http://edoc.hu-berlin.de/18452/3295
urn:nbn:de:kobv:11-10052780
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.