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Where can I find a quick introduction to topological and analytic preliminaries to "Compact complex surfaces" by W. Barth, K. Hulek, C. Peters and A. Van de Ven? Thanks for any references or comments.

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    $\begingroup$ 1) If people refer to books or papers by their authors' initials, MO becomes totally unreadable. Please write out the proper reference for the book (I presume it is "Compact complex surfaces" by Barth, Peters Van de Ven and, in the second edition, Hulek.) $\endgroup$
    – Tim Perutz
    Dec 17, 2012 at 0:43
  • $\begingroup$ 2) What specifically do you want to know about? $\endgroup$
    – Tim Perutz
    Dec 17, 2012 at 0:43
  • $\begingroup$ Dear Tim, you are right. I need some topological background such as why the singular cohomology coincides with the sheaf cohomology. Thanks for diverrietti's edit. $\endgroup$
    – MZWang
    Dec 21, 2012 at 12:07
  • $\begingroup$ I don't have access to my books right now, but I believe Spanier's Algebraic topology, or Warner's Foundations of differentiable manifolds would contain a proof of the comparison. $\endgroup$ Dec 26, 2012 at 16:41

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