Class VII surfaces with $b_2$ curves

Abstract

We give an affirmative answer to a conjecture of Ma. Kato, namely that every compact complex surface $S$ in Kodaira's class $VI{I}_0$ with $b_2(S)>0$ and $b_2(S)$ rational curves, admits a global spherical shell.

27 pages

Cited by in corpus (4)

• On the evolution of a Hermitian metric by its Chern-Ricci form
• Regularity results for pluriclosed flow
• Smooth deformations of singular contractions of class VII surfaces
• A vanishing result for a Casson-type instanton invariant