A general Hilbert-Mumford Criterion

Juergen Hausen

A general Hilbert-Mumford Criterion

代数几何 2007-05-23 v2

作者: Juergen Hausen

摘要

We provide a Hilbert-Mumford Criterion for actions of reductive groups $G$ on $Q$ -factorial complex varieties. The result allows to construct open subsets admitting a good quotient by $G$ from certain maximal open subsets admitting a good quotient by a maximal torus of $G$ . As an application, we show how to obtain all invariant open subsets with good quotient for a given $G$ -action on a complete $Q$ -factorial toric variety.

关键词

algebraic group actions

引用

@article{arxiv.math/0211116,
  title  = {A general Hilbert-Mumford Criterion},
  author = {Juergen Hausen},
  journal= {arXiv preprint arXiv:math/0211116},
  year   = {2007}
}

备注

8 pages, minor changes, to appear in Ann. Inst. Fourier

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