Nets, -sequences, and algebraic curves over finite fields with many rational points.
Nevanlinna-Cartan theory over function fields and a Diophantine equation.
New examples of modular rigid Calabi-Yau threefolds.
The aim of this article is to present five new examples of modular rigid Calabi-Yau threefolds by giving explicit correspondences to newforms of weight 4 and levels 10, 17, 21 and 73.
Newton polyhedra and the degree of the L-function associated to an exponential sum.
Nice modular varieties.
Noether's problem over an algebraically closed field.
Nombre de points des jacobiennes sur un corps fini
Nombre de points des variétés de Shimura sur un corps fini
Nombre maximum de points rationnels d'une courbe sur un corps fini
Nombres congruents et courbes elliptiques
Nombres de points des courbes algébriques sur F ...
Non archimedean Hopf surfaces
Non standard arithmetic and application to height functions
Non-Archimedean analytic curves in Abelian varieties.
Non-archimedean complex powers and eigenvalues of monodromy
Nonarchimedean dynamical systems
Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for
Inspired by Manin’s approach towards a geometric interpretation of Arakelov theory at infinity, we interpret in this paper non-Archimedean local intersection numbers of linear cycles in with the combinatorial geometry of the Bruhat-Tits building associated to .
Non-classical Gorenstein curves of arithmetic genuas three and four.
Non-conservative plane quartic curves in characteristic five.
Non-existence of points rational over number fields on Shimura curves
Jordan, Rotger and de Vera-Piquero proved that Shimura curves have no points rational over imaginary quadratic fields under a certain assumption. In this article, we extend their results to the case of number fields of higher degree. We also give counterexamples to the Hasse principle on Shimura curves.