Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 019-01. Étale covers with a prescribed exterior sheet
Manuscript map · lines 2875–2884
OpenAI@2026-10-07#rem:oai-p-019-01
Authors: OpenAI. Family 019.
Title: Étale covers with a prescribed exterior sheet.
Abstract: Let X be a smooth proper hyperbolic curve over an algebraic closure of a p-adic local field. Given finitely many disjoint small open disks, we construct one connected finite étale cover with a sheet isomorphic to their entire exterior and with degree divisible by p on every connected component above each disk.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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