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Seshadri constants on surfaces of general type

Thomas Bauer and Tomasz Szemberg

Number 24
Author Tomasz Szemberg
Project C11
Year 2008

We study Seshadri constants of the canonical bundle on minimal surfaces of general type. First, we prove that if the Seshadri constant ε(KX,x) is between 0 and 1, then it is of the form (m1)/m for some integer m2. Secondly, we study values of ε(KX,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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