English

Class VII surfaces with $b_2$ curves

Complex Variables 2007-05-23 v1 Algebraic Geometry

Abstract

We give an affirmative answer to a conjecture of Ma. Kato, namely that every compact complex surface SS in Kodaira's class VII0VII_0 with b2(S)>0b_2(S) > 0 and b2(S)b_2(S) rational curves, admits a global spherical shell.

Keywords

Cite

@article{arxiv.math/0201010,
  title  = {Class VII surfaces with $b_2$ curves},
  author = {Georges Dloussky and Karl Oeljeklaus and Matei Toma},
  journal= {arXiv preprint arXiv:math/0201010},
  year   = {2007}
}

Comments

27 pages