Residual intersection theory with reducible schemes

Georg Hein

Residual intersection theory with reducible schemes

代数几何 2007-05-23 v1

作者: Georg Hein

摘要

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.

关键词

chern classes intersection theory vector bundles

引用

@article{arxiv.math/0111075,
  title  = {Residual intersection theory with reducible schemes},
  author = {Georg Hein},
  journal= {arXiv preprint arXiv:math/0111075},
  year   = {2007}
}

备注

9 pages

相关论文

查看更多相关论文 →