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Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe.

Maisner, Daniel; Nart, Enric — 2002

Experimental Mathematics

Formal group laws for certain formal groups arising from modular curves

Enric Nart — 1993

Compositio Mathematica

The formal completion of the Néron model of J(p).

Enric Nart — 1991

Publicacions Matemàtiques

For any prime number p > 3 we compute the formal completion of the Néron model of J(p) in terms of the action of the Hecke algebra on the Z-module of all cusp forms (of weight 2 with respect to Γ(p)) with integral Fourier development at infinity.

Formal groups and L-series.

Christopher Deninger; Enric Nart — 1990

Commentarii mathematici Helvetici

Modular invariant and good reduction of elliptic curves.

Salvador Comalada; Enric Nart — 1992

Mathematische Annalen

Okutsu invariants and Newton polygons

Jordi Guàrdia; Jesús Montes; Enric Nart — 2010

Acta Arithmetica

Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields

Jordi Guàrdia; Jesús Montes; Enric Nart — 2011

Journal de Théorie des Nombres de Bordeaux

We present an algorithm for computing discriminants and prime ideal decomposition in number fields. The algorithm is a refinement of a $p$ -adic factorization method based on Newton polygons of higher order. The running-time and memory requirements of the algorithm appear to be very good.

Jacobians in isogeny classes of abelian surfaces over finite fields

Everett W. Howe; Enric Nart; Christophe Ritzenthaler — 2009

Annales de l’institut Fourier

We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus- $2$ curves over finite fields.

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