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arXiv · 1905.05545

The Relative Canonical Ideal of the Artin-Schreier-Kummer-Witt family of curves

Hara Charalambous·Kostas Karagiannis·Aristides Kontogeorgis
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Abstract

We study the canonical model of the Artin-Schreier-Kummer-Witt flat family of curves over a ring of mixed characteristic. We first prove the relative version of a classical theorem by Petri, then use the model proposed by Bertin-Mézard to construct an explicit generating set for the relative canonical ideal. As a byproduct, we obtain a combinatorial criterion for a set to generate the canonical ideal, applicable to any curve satisfying the assumptions of Petri's theorem.

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Hara Charalambous, Kostas Karagiannis, Aristides Kontogeorgis. 2019-05-14. The Relative Canonical Ideal of the Artin-Schreier-Kummer-Witt family of curves. https://arxiv.org/abs/1905.05545

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