18 résultats avec le mot-clé: 'hodge index theorem number points curves finite fields'
We use an algorithm which, for a given genus g and a given field size q, returns the best upper order Weil bound for the number of F q -rational points of a genus g curve, together
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Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof.. Documents Mathématiques série dirigée par
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In this section, we prove a Hodge index theorem for adelic metrized line bundles on projective varieties over number fields, generalizing the following theorem in the context
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Toute utilisation commer- ciale ou impression systématique est constitutive d’une infraction pénale.. Toute copie ou impression de ce fichier doit contenir la présente mention
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This construction enables us to prove some results on the maximum number of rational points on an absolutely ir- reducible projective algebraic curve defined over F q of
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In this section we explain how to count the number of points on an elliptic curve .E, when the endomorphism ring of E is known.. In this case there is an extremely
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Rene Schoof gave a polynomial time algorithm for counting points on elliptic curves i.e., those of genus 1, in his ground-breaking paper [Sch85].. Subsequent improvements by Elkies
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The distribution of the number of points modulo an integer on elliptic curves over finite fields.. Wouter Castryck and Hendrik Hubrechts January
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Once one has good upper bounds, one would like to show that these bounds are met by some curve, therefore one needs good methods of constructing curves; these methods include
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Instead of considering elliptic curves over number fields of degree d, one might consider abelian varieties over Q of dimension d.. Restriction of scalars a la Weil
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Although the method we develop here can be applied to any toric surface, this paper solely focuses on the projective plane and Hirzeburch surfaces, which are the only minimal
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4. A DÉCIDÉ ÉGALEMENT que l’organe intergouvernemental de négociation tiendra au moins une session supplémentaire dans l’intervalle entre les troisième et quatrième sessions de
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Mathematics Subject Classification. Edwards Curves, Gaussian Hypergeometric Series, Finite Fields... of algebraic curves over finite fields. Two families of elliptic curves were
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We address the problem of the maximal finite number of real points of a real algebraic curve (of a given degree and, sometimes, genus) in the projective plane.. We improve the
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We address the problem of the maximal finite number of real points of a real algebraic curve (of a given degree and, sometimes, genus) in the projective plane.. We improve the
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Quant à la présentation du journal, je l'explique ainsi : nous avons ici un cours de perfectionnement pour l'adaptation aux méthodes modernes de notre personnel
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Like GLV, our method involves reducing curves defined over number fields to obtain curves over finite fields with explicit CM.. However, we emphasise a profound difference: in
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