Seshadri constants on surfaces of general type

2008/01/21 by Bauer, Thomas, Szemberg, Tomasz
#14C20 #14J29 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0801.3245

Abstract

We study Seshadri constants of the canonical bundle on minimal surfaces of general type. First, we prove that if the Seshadri constant \eps(K_X,x) is between 0 and 1, then it is of the form (m-1)/m for some integer m≥ 2. Secondly, we study values of \eps(K_X,x) for a very general point x and show that small values of the Seshadri constant are accounted for by the geometry of X.

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