Uniformly effective Shafarevich Conjecture on families of hyperbolic curves over a curve with prescribed degeneracy locus

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dc.creatorHeier, Gordon
dc.date2003-11-06
dc.date.accessioned2026-07-07T05:02:40Z
dc.date.available2026-07-07T05:02:40Z
dc.descriptionThe paper's main result is an effective uniform bound for the finiteness statement of the Shafarevich Conjecture over function fields. Several results on the projective geometry of curves are established in the course of the proof. These results should be of independent interest. As a corollary, a uniform effective bound for the Mordell Conjecture over function fields is derived via Parshin's trick.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0311085
dc.identifierhttp://arxiv.org/abs/math/0311085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69099
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14H10, 14G05, 14C05
dc.titleUniformly effective Shafarevich Conjecture on families of hyperbolic curves over a curve with prescribed degeneracy locus
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