# A Note on the Covering of Projective Surfaces

Research paper by A. D. R. Choudary, V. Vâjâitu

Indexed on: 30 Oct '08Published on: 30 Oct '08Published in: Results in Mathematics

#### Abstract

Let X be a weakly 1-complete surface and (Y, π) be a, possibly ramified, Riemann domain over X. If $$H^1(Y,{\mathcal{O}}^*) = 0$$, then Y is Stein and $$H^2(Y, {\mathbb{Z}}) = 0$$.