中文

第一割线簇的生成与合冲

代数几何 2009-08-04 v3 交换代数

摘要

在一定的有效正性条件下,我们证明光滑簇的割线簇满足 N3,pN_{3,p} 性质。对于光滑曲线,我们给出了嵌入度 dd 的最佳有效界,即 d2g+3+pd\geq 2g+3+p

关键词

引用

@article{arxiv.0809.4463,
  title  = {Generation and syzygies of the first secant variety},
  author = {Peter Vermeire},
  journal= {arXiv preprint arXiv:0809.4463},
  year   = {2009}
}

备注

There was an error in version 2. The degree bound for curves has been re-established, but the proof in higher dimensions has not yet been fixed. See note at the beginning of this version