Maps between curves and arithmetic obstructions

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dc.contributor.authorSutherland AV
dc.contributor.authorVoloch JF
dc.date.accessioned2018-05-07T02:29:43Z
dc.date.available2018-05-07T02:29:43Z
dc.date.issued2017en
dc.date.updated2017-10-25T02:09:09Z
dc.description.abstractLet X and Y be curves over a finite field. In this article we explore methods to determine whether there is a rational map from Y to X by considering L-functions of certain covers of X and Y and propose a specific family of covers to address the special case of determining when X and Y are isomorphic. We also discuss an application to factoring polynomials over finite fields.en
dc.identifier.citationSutherland AV, Voloch JF (2017). Maps between curves and arithmetic obstructions.en
dc.identifier.urihttp://hdl.handle.net/10092/15306
dc.language.isoen
dc.subjectmath.NTen
dc.subjectmath.NTen
dc.subjectmath.AGen
dc.subject14H25 (Primary) 14G30, 14G10, 11G20 (Secondary)en
dc.subject.anzsrcFields of Research::49 - Mathematical sciences::4904 - Pure mathematics::490402 - Algebraic and differential geometryen
dc.titleMaps between curves and arithmetic obstructionsen
dc.typeJournal Articleen
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