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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 \(H^2(Y, {\mathbb{Z}}) = 0\).