中文

辛流形上丰富线丛几乎全纯截面的渐近性:补遗

辛几何 2007-05-23 v1 概率论

摘要

我们在辛流形 (M,ω)(M, \omega) 上丰富线丛 LL 的幂之几乎全纯截面空间 HJ0(M,LN)H^0_J(M, L^N) 上定义一高斯测度,并计算截面在有限个点上取预设值与协变导数的联合概率密度。我们证明当 NN \to \infty 时它们具有普适缩放极限。该结果完善了我们通过(与 P. Bleher 合作)证明:几乎全纯情形下截面零点间的相关性与复情形具有相同普适缩放极限(见 Universality and scaling of zeros on symplectic manifolds, Random matrix models and their applications, 31--69, Math. Sci. Res. Inst. Publ., 40)。

关键词

引用

@article{arxiv.math/0212181,
  title  = {Asymptotics of almost holomorphic sections of ample line bundles on symplectic manifolds: an addendum},
  author = {B. Shiffman and S. Zelditch},
  journal= {arXiv preprint arXiv:math/0212181},
  year   = {2007}
}

备注

Addendum to math.SG/0212180. Supplements and completes results of math-ph/0002039