Residual intersection theory with reducible schemes |
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Authors: | Georg Hein |
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Institution: | (1) Freie Universität Berlin, Institut für Mathematik II, Arnimallee 3, 14195 Berlin, Germany |
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Abstract: | We develop a formula (Theorem 5.2) 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 local 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. |
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Keywords: | 14C17 14N10 |
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