Ahmadi, OmranMcGuire, GaryRojas León, Antonio2016-06-082016-06-082015-11Ahmadi, O., McGuire, G. y Rojas León, A. (2015). Decomposing Jacobians of curves over finite fields in the absence of algebraic structure. Journal of Number Theory, 156, 414-431.1096-16580022-314Xhttp://hdl.handle.net/11441/42025We consider the issue of when the L-polynomial of one curve over Fq divides the L-polynomial of another curve. We prove a theorem which shows that divisibility follows from a hypothesis that two curves have the same number of points over infinitely many extensions of a certain type, and one other assumption. We also present an application to a family of curves arising from a conjecture about exponential sums. We make our own conjecture about L-polynomials, and prove that this is equivalent to the exponential sums conjecture.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/curveJacobiansupersingularfinite fieldL-polynomialinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jnt.2015.04.014