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arXiv · 1103.0088

Wildly Ramified Actions and Surfaces of General Type Arising from Artin-Schreier Curves

Hiroyuki Ito·Stefan Schroeer
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Abstract

We analyse the diagonal quotient for products of certain Artin--Schreier curves. The smooth models are almost always surfaces of general type, with Chern slopes tending asymptotically to 1. The calculation of numerical invariants relies on a close examination of the relevant quotient singularity in characteristic p. It turns out that the canonical model has q-1 rational double points of type A_{q-1}, and embeds as a divisor of degree q in P^3, which is in some sense reminiscent of the classical Kummer quartic.

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Hiroyuki Ito, Stefan Schroeer. 2012-03-02. Wildly Ramified Actions and Surfaces of General Type Arising from Artin-Schreier Curves. https://arxiv.org/abs/1103.0088

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