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- W4376614554 abstract "The formulas for local root numbers of abelian varieties of dimension one are known. In this paper we treat the simplest unknown case in dimension two by considering a curve of genus 2 defined over a $5$-adic field such that the inertia acts on the first $ell$-adic cohomology group through the largest possible finite quotient, isomorphic to $C_5rtimes C_8$. We give a few criteria to identify such curves and prove a formula for their local root numbers in terms of invariants associated to a Weierstrass equation." @default.
- W4376614554 created "2023-05-17" @default.
- W4376614554 creator A5028540520 @default.
- W4376614554 date "2021-02-15" @default.
- W4376614554 modified "2023-09-23" @default.
- W4376614554 title "Root numbers of 5-adic curves of genus two having maximal ramification" @default.
- W4376614554 doi "https://doi.org/10.48550/arxiv.2102.07745" @default.
- W4376614554 hasPublicationYear "2021" @default.
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