An "Anti-Hasse Principle" for Prime Twists

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dc.creatorClark, Pete L.
dc.date2006-09-16
dc.date.accessioned2026-07-07T07:24:54Z
dc.date.available2026-07-07T07:24:54Z
dc.descriptionGiven an algebraic curve C/Q having points everywhere locally and endowed with a suitable involution, we show that there exists a positive density family of prime quadratic twists of C violating the Hasse principle. The result applies in particular to w_N-Atkin-Lehner twists of most modular curves X_0(N) and to w_p-Atkin-Lehner twists of certain Shimura curves X^{D+}.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0609465
dc.identifierhttp://arxiv.org/abs/math/0609465
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116543
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.titleAn "Anti-Hasse Principle" for Prime Twists
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