中文

特殊辛型瞬时束在$P^{2n+1}$上的切空间

alg-geom 2008-02-03 v1 代数几何

摘要

MISimp,P2n+1(k)MI_{Simp,P^{2n+1}}(k)为具有第二个Chern类c2=kc_2=kP2n+1P^{2n+1}上稳定辛型瞬时束的模空间(是模空间MIP2n+1(k)MI_{P^{2n+1}}(k)的闭子方案),我们证明其在特殊(辛型)瞬时束处的Zariski切空间维数为2k(5n1)+4n210n+3,k22k(5n-1)+4n^2-10n+3, k\geq 2。这表明当k3 k \leq 3 时,特殊辛型瞬时束为光点。

关键词

引用

@article{arxiv.alg-geom/9707011,
  title  = {The tangent space at a special symplectic instanton bundle on P^{2n+1}},
  author = {Carla Dionisi},
  journal= {arXiv preprint arXiv:alg-geom/9707011},
  year   = {2008}
}

备注

Latex, 11 pages, to appear in Annali di Matematica