We give an affirmative answer to the following conjecture of Ma, Kato: Let $S$ be a compact complex surface in Kodaira's class $\rm {VII_{0}}$ which contains a strictly positive number of rational curves being exactly equal to the second Betti number of $S$. Then $S$ admits a global spherical shell.
Publié le : 2003-06-14
Classification:
Compact Complex Surface,
Kodaira Class VII,
Global Spherical Shell,
Kato Surface,
32J15,
32Q57
@article{1113246942,
author = {Dloussky, Georges and Oeljeklaus, Karl and Toma, Matei},
title = {Class {$\rm VII\sb 0$} surfaces with {$b\sb 2$} curves},
journal = {Tohoku Math. J. (2)},
volume = {55},
number = {2},
year = {2003},
pages = { 283-309},
language = {en},
url = {http://dml.mathdoc.fr/item/1113246942}
}
Dloussky, Georges; Oeljeklaus, Karl; Toma, Matei. Class {$\rm VII\sb 0$} surfaces with {$b\sb 2$} curves. Tohoku Math. J. (2), Tome 55 (2003) no. 2, pp. 283-309. http://gdmltest.u-ga.fr/item/1113246942/