Rank-2 ample vector bundles on some smooth rational surfaces

Hironobu Ishihara

Rank-2 ample vector bundles on some smooth rational surfaces

alg-geom 2008-02-03 v1 代数几何

作者: Hironobu Ishihara

摘要

Some classification results for ample vector bundles of rank 2 on Hirzebruch surfaces, and on Del Pezzo surfaces, are obtained. In particular, we classify rank-2 ample vector bundles with $c_2$ less than 7 on Hirzebruch surfaces, and with $c_2$ less than 4 on Del Pezzo surfaces.

关键词

moduli spaces of vector bundles vector bundles del pezzo surfaces

引用

@article{arxiv.alg-geom/9605004,
  title  = {Rank-2 ample vector bundles on some smooth rational surfaces},
  author = {Hironobu Ishihara},
  journal= {arXiv preprint arXiv:alg-geom/9605004},
  year   = {2008}
}

备注

AMS-TeX v2.1, 29 pages

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