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 (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.
