• Aucun résultat trouvé

ERRATA: A DATABASE OF GENUS 2 CURVES OVER THE RATIONAL NUMBERS

N/A
N/A
Info
Télécharger
Protected

Academic year: 2022

Partager "ERRATA: A DATABASE OF GENUS 2 CURVES OVER THE RATIONAL NUMBERS"

Copied!
1
0
0

Chargement.... (Voir le texte intégral maintenant)

Texte intégral

(1)

ERRATA:

A DATABASE OF GENUS 2 CURVES OVER THE RATIONAL NUMBERS

ANDREW R. BOOKER, JEROEN SIJSLING, ANDER V. SUTHERLAND, JOHN VOIGHT, AND DAN YASAKI

This note gives some errata for the articleA database of genus2curves over the rational numbers [1]. Thanks to David Kohel.

(1) Example 6.4.2: The first curve should have equation y2=x5−x4+ 4x3−8x2+ 5x−1

(the error is in the coefficient ofx3). Indeed, the indicated curve has bad reduction at 3 and 11; the two are obtained by the quadratic twist by−1, hence the signs change on the coefficients of even degree inx.

References

[1] Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland, John Voight, and Dan Yasaki,A database of genus2 curves over the rational numbers, LMS. J. Comput. Math.19(Special issue A) (2016), 235–254.

Date: February 23, 2017.

1

Références

Télécharger maintenant ( PDF - 1 Page - 118.84 KB )

Documents relatifs

1 Curves 2 The Genus

This means that on curves of genus 0 we have the following behavior: It either has no rational points, or infinitely many (in which case finding an explicit isomorphism to P 1 will

On the A-numbers in the quadratic fields K ( ~ - ~ )

NAGELL, T., Sur quelques questions dans la th6orie des corps biquadratiques, Arkiv f.. Almqvist & Wiksells Boktryckerl

On the solvability of the Diophantine equation a x ~ + by=' + c z 2 = 0 in imaginary Euclidean quadratic fields

In this paper we shall only consider the case of an imaginary Euclidean quadratic field.. We shall examine whether the other conditions are sufficient or not

Understanding the structure of the set of rational numbers: a conceptual change approach.

We show that prior knowledge about natural numbers supports students dealing with algebraic properties of rational numbers, while the idea of discreteness is a

On the genus of curves in a Jacobian variety

The proof is based on a result on Prym varieties stated in [12], which asserts that a very generic Prym variety, of dimension greater or equal to 4, of a ramified double covering is

The discriminants of curves of genus 2

Our main result asserts that it is determined by the base locus of the canonical divisor when the curves degenerate.. Let g: Y ~ T be a proper and smooth morphism with

B-rational curves and reparametrization : the quadratic case

For computational and stability purposes we are led to détermine the massic polygon resulting front a one-to-one quadratic change of parameter which allows a description of the

Three results on the regularity of the curves that are invariant by an exact symplectic twist map

The way we use the Green bundles in our article is different: the two Green bundles will bound the “derivative” below and above (this derivative is in fact the accumulation points