On surfaces with p_g=2q-3
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We study minimal complex surfaces S of general type with q(S)=q and p_g(S)=2q-3, q>= 5. We give a complete classification in case that S has a fibration onto a curve of genus >=2. For these surfaces K^2=8χ. In general we prove that K^2>=7χ-1 and that the stronger inequality K^2\ge 8χholds under extra assumptions (e.g., if the canonical system has no fixed part or the canonical map has even degree).
We also describe the Albanese map of S.
to appear in Advances in Geometry
to appear in Advances in Geometry