Hensel-lifting torsion points on jacobians and galois representations

dc.contributor.author	Mascot, Nicolas
dc.contributor.department	Department of Mathematics
dc.contributor.faculty	Faculty of Arts and Sciences (FAS)
dc.contributor.institution	American University of Beirut
dc.date.accessioned	2025-01-24T11:24:38Z
dc.date.available	2025-01-24T11:24:38Z
dc.date.issued	2020
dc.description.abstract	Let ρ be a mod l Galois representation. We show how to compute ρ explicitly, given the characteristic polynomial of the image of the Frobenius at one prime p and a curve C whose Jacobian contains ρ in its l-torsion. The main ingredient is a method to p-adically lift torsion points on a Jacobian in the framework of Makdisi's algorithms. © 2019 American Mathematical Society.
dc.identifier.doi	https://doi.org/10.1090/mcom/3484
dc.identifier.eid	2-s2.0-85083719209
dc.identifier.uri	http://hdl.handle.net/10938/26069
dc.language.iso	en
dc.publisher	American Mathematical Society
dc.relation.ispartof	Mathematics of Computation
dc.source	Scopus
dc.subject	Algorithm
dc.subject	Galois representation
dc.subject	Jacobian
dc.subject	P-adic
dc.title	Hensel-lifting torsion points on jacobians and galois representations
dc.type	Article

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