中文

射影概形的Lyubeznik数

交换代数 2011-07-29 v4 代数几何

摘要

XX是域kk上的射影概形,并设AA是在某个嵌入XPknX\hookrightarrow\mathbb{P}^n_kXX的仿射锥顶点处的局部环。我们证明,当ch(k)>0\ch(k)>0时,Lyubeznik数λi,j(A)\lambda_{i,j}(A)XX的内在数值不变量,即λi,j(A)\lambda_{i,j}(A)仅依赖于XX,而不依赖于嵌入。

关键词

引用

@article{arxiv.1001.3662,
  title  = {Lyubeznik numbers of projective schemes},
  author = {Wenliang Zhang},
  journal= {arXiv preprint arXiv:1001.3662},
  year   = {2011}
}

备注

revised version, exposition improved, to appear in Advances in Mathematics