Wildly ramified actions and surfaces of general type arising from Artin–Schreier curves

  • Hiroyuki Ito

    Tokyo University of Science, Chiba-Ken, Japan
  • Stefan Schröer

    Heinrich-Heine-Universität, Düsseldorf, Germany
Wildly ramified actions and surfaces of general type arising from Artin–Schreier curves cover

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Abstract

We analyse the diagonal quotient for the product 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 wild quotient singularity in characteristic . It turns out that the canonical model has rational double points of type , and embeds as a divisor of degree in , which is in some sense reminiscent of the classical Kummer quartic.