关于del Pezzo曲面上线丛的完备例外序列
代数几何
2017-10-10 v3
摘要
我们证明，在光滑del Pezzo曲面上，由线丛组成的、长度最大的数值例外序列，在L.Hille和M.Perling的意义下是标准扩充。我们推断出任何这样的序列都是例外且完备的。
关键词
引用
@article{arxiv.1505.06477,
title = {On full exceptional collections of line bundles on del Pezzo surfaces},
author = {Alexey Elagin and Valery Lunts},
journal= {arXiv preprint arXiv:1505.06477},
year = {2017}
}
备注
20 pages. v2: major changes. More simple proof of the main theorem is given. Consideration of toric vectors and three-block collections is not needed now hence omitted. v3: some generalizations are made. Main theorem is proved now for numerically exceptional collections (rather than strong exceptional collections)