On surfaces with p_g=2q-3

2008/11/03 by Margarida Mendes Lopes, Rita Pardini, Lopes, Margarida Mendes +1
Mathematics · #Algebraic Geometry and Number Theory #Geometry and complex manifolds #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.0811.0390

Abstract

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 K²=8χ. In general we prove that K²>=7χ-1 and that the stronger inequality K²≥ 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.

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