Arithmetic geometry

Étale covers with a prescribed exterior sheet

Independent panel assessments · paired prompt comparison

7 pages4 claims indexed9 referencesManuscript 2026-09-24

The proposed argument

The argument constructs semistable-model cycles, uses graph characters to obtain cyclic covers supported above the chosen disks, and takes a stabilizer quotient of their Galois composite to obtain an exterior sheet and disk degrees divisible by p.

This test concerns this manuscript only. Independent human mathematical assessment remains pending.

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    Your independent assessment

    Identify the exact positive-genus resolution input and its hypotheses. Trace the graph-character construction and check the stabilizer index argument separately; the broader section-conjecture family is outside this manuscript.

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