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18 résultats avec le mot-clé: 'hodge index theorem number points curves finite fields'

From Hodge Index Theorem to the number of points of curves over 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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2021
Rational points on curves over finite fields

Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof.. Documents Mathématiques série dirigée par

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2022
The arithmetic Hodge index theorem for adelic line bundles

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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2022
Counting points on curves over finite fields

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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2023
On the maximum number of rational points on singular curves over finite fields

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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2021
Counting points on elliptic curves over finite fields

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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2021
Counting points on hyperelliptic curves over finite fields

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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2021
The distribution of the number of points modulo an integer on elliptic curves over finite fields

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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2022
CURVES OVER FINITE FIELDS WITH MANY POINTS: AN INTRODUCTION

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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2022
Rational torsion points on elliptic curves over number fields

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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2023
BOUND ON THE NUMBER OF RATIONAL POINTS ON CURVES ON HIRZEBRUCH SURFACES OVER FINITE FIELDS

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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2021
Adoption de l’ordre du jour et organisation des travaux

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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2022
Edwards Curves and Gaussian Hypergeometric Series

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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2021
Real algebraic curves with large finite number of real points

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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2021
REAL ALGEBRAIC CURVES WITH LARGE FINITE NUMBER OF REAL POINTS

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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2022
Un journal scolaire comme on en lit peu

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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2022
The Q-curve construction for endomorphism-accelerated elliptic curves

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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2021
DSM-5 enfin validé

Le conseil de l’Association américaine de psy chiatrie (APA) a validé le 1 er décembre dernier le Diagnostic and Statistical Manual of Mental Disorders (DSM­5), fruit du travail

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2022

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