辛 orbifold 与环簇上的哈密顿环面作用
dg-ga
2008-02-03 v1 微分几何
摘要
在论文第一部分，我们为辛 orbifold 上哈密顿作用的研究奠基。最重要的是我们证明了阿贝尔连通定理与凸性定理的 orbifold 版本。后半部分我们证明，具有完全可积环面作用的紧辛 orbifold 由带有附于每个面的正整数凸简单有理多面体分类，且所有此类 orbifold 都是代数环簇。
引用
@article{arxiv.dg-ga/9511008,
title = {Hamiltonian torus actions on symplectic orbifolds and toric varieties},
author = {Eugene Lerman and Susan Tolman},
journal= {arXiv preprint arXiv:dg-ga/9511008},
year = {2008}
}
备注
AMSLaTeX using pb-diagram, lamsarrow, pb-lams, epic, eepic, amssymb, amscd, fullpage; 25pp. The source and dvi files are also available at http://www.math.uiuc.edu/~lerman/research.html . This paper is a substantial revision of "Symplectic toric orbifolds," dg-ga/9412005