中文

Stein surfaces as open subsets of C^2

几何拓扑 2007-05-23 v3 复变函数

摘要

An open subset U of a complex surface can be topologically perturbed to yield an open subset whose inherited complex structure is Stein, if and only if U is homeomorphic to the interior of a handlebody whose handles all have index equal or less than 2.

引用

@article{arxiv.math/0501509,
  title  = {Stein surfaces as open subsets of C^2},
  author = {Robert E. Gompf},
  journal= {arXiv preprint arXiv:math/0501509},
  year   = {2007}
}

备注

Comments 23 pages, 5 figures, AMS-LaTeX v2: Overcompressed figures fixed. v3: Minor edits - this is the published version