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 \(H^2(Y, {\mathbb{Z}}) = 0\).
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Received: September 23, 2007. Revised: April 9, 2008.
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Choudary, A.D.R., Vâjâitu, V. A Note on the Covering of Projective Surfaces. Result. Math. 53, 53–58 (2009). https://doi.org/10.1007/s00025-008-0298-0
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DOI: https://doi.org/10.1007/s00025-008-0298-0