We study the Seshadri constants of cyclic coverings of smooth surfaces. The existence of an automorphism on these surfaces can be used to produce Seshadri exceptional curves. We apply this method to n-cyclic coverings of the projective plane. When 2 ≤ n ≤ 9, explicit values are obtained. We relate this problem with the Nagata conjecture.
- Seshadri constants; cyclic coverings
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