# Seshadri constants on surfaces of general type

Thomas Bauer and Tomasz Szemberg

Number | 24 |
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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 (m−1)/m for some integer m≥2. 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.