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Families of elliptic curves with genus 2 covers of degree 2.

Claus Diem (2006)

Collectanea Mathematica

We study genus 2 covers of relative elliptic curves over an arbitrary base in which 2 is invertible. Particular emphasis lies on the case that the covering degree is 2. We show that the data in the "basic construction" of genus 2 covers of relative elliptic curves determine the cover in a unique way (up to isomorphism).A classical theorem says that a genus 2 cover of an elliptic curve of degree 2 over a field of characteristic ≠ 2 is birational to a product of two elliptic curves over the projective...

Fields of Large Transcendence Degree Generated by Values of Elliptic Functions.

D.W. Masser, G. Wüstholz (1983)

Inventiones mathematicae

Fonctions $L$ $p$ -adiques à deux variables et $ℤ_{2}^{p}$ -extensions

Jacques Tilouine (1986)

Bulletin de la Société Mathématique de France

Formal Groups and Zeta-Functions of Elliptic Curves.

W.L. Hill (1971)

Inventiones mathematicae

Formes linéaires de logarithmes de points algébriques sur une courbe elliptique de type $C M$

Mohammed Ably (2000)

Annales de l'institut Fourier

Nous obtenons une minoration d’une forme linéaire de logarithmes elliptiques de points algébriques d’une courbe elliptique à multiplication complexe définie sur $\overline{Q}$ . Cette minoration est optimale (à constante près) en la hauteur de la forme linéaire considérée.

Displaying 1 – 9 of 9

Families of elliptic curves with genus 2 covers of degree 2.

Fields of Large Transcendence Degree Generated by Values of Elliptic Functions.

Fonctions $L$ $p$ -adiques à deux variables et $ℤ_{2}^{p}$ -extensions

Formal Groups and Zeta-Functions of Elliptic Curves.

Formes linéaires de logarithmes de points algébriques sur une courbe elliptique de type $C M$

Fourier-Mukai transforms and stable bundles on elliptic curves.

From holonomy of the Ising model form factors to $n$ -fold integrals and the theory of elliptic curves.

From the elliptic regulator to exotic relations.

From the Taniyama-Shimura conjecture to Fermat's last theorem

Currently displaying 1 – 9 of 9