Stein surfaces as open subsets of $\boldsymbol{\mathbb{C}}^2$

Gompf, Robert E.

J. Symplectic Geom., Tome 3 (2005) no. 2, p. 565-587 / Harvested from Project Euclid

Résumé

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 ${\le}2$.

Publié le : 2005-12-14
Classification:

@article{1154467630,
     author = {Gompf, Robert E.},
     title = {Stein surfaces as open subsets of $\boldsymbol{\mathbb{C}}^2$},
     journal = {J. Symplectic Geom.},
     volume = {3},
     number = {2},
     year = {2005},
     pages = { 565-587},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1154467630}
}

Gompf, Robert E. Stein surfaces as open subsets of $\boldsymbol{\mathbb{C}}^2$. J. Symplectic Geom., Tome 3 (2005) no. 2, pp.  565-587. http://gdmltest.u-ga.fr/item/1154467630/