March 8, 2024Open Access

Asymptotic Variation of Elementary Abelian p-Extensions over P¹

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Abstract

In this paper, we prove that there exists a Zariski dense open subset U in the parameter space of all elementary p-covers of the projective line that ramified at exactly one point, defined over the rationals, such that for every curve X in U (Q) and for any prime p large enough, the reduction of X at all primes lying over p achieves its generic Newton slopes.

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Hui June Zhu (Fri,) studied this question.

synapsesocial.com/papers/68e752dab6db6435876cb734 https://doi.org/https://doi.org/10.48550/arxiv.2403.05453

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