Claus Diem

most citedOn the Structure of the Weil Restriction of Abelian Varieties

3 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2005

Ordinary elliptic curves of high rank over $F ˉ_{p} (x)$ with constant j-invariant II

Claus Diem, Jasper Scholten

We show that for all odd primes $p$ , there exist ordinary elliptic curves over $F ˉ_{p} (x)$ with arbitrarily high rank and constant $j$ -invariant. This shows in particul…

math.AG2005★ 3 cited

On the Structure of the Weil Restriction of Abelian Varieties

Claus Diem, N. Naumann

We give a description of endomorphism rings of Weil restrictions of abelian varieties with respect to finite Galois extensions. The results are applied to study the isogeny decompo…

math.AG2003★ 3 cited

Families of elliptic curves with genus 2 covers of degree 2

Claus Diem

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 tha…

math.NT2003

Ordinary elliptic curves of high rank over $F ˉ_{p} (x)$ with constant j-invariant

Irene I. Bouw, Claus Diem, Jasper Scholten

We show that under the assumption of Artin's Primitive Root Conjecture, for all primes p there exist ordinary elliptic curves over $F ˉ_{p} (x)$ with arbitrary high rank and consta…

Ordinary elliptic curves of high rank over Fˉp​(x) with constant j-invariant II

On the Structure of the Weil Restriction of Abelian Varieties

Families of elliptic curves with genus 2 covers of degree 2

Ordinary elliptic curves of high rank over Fˉp​(x) with constant j-invariant

Ordinary elliptic curves of high rank over $F ˉ_{p} (x)$ with constant j-invariant II

Ordinary elliptic curves of high rank over $F ˉ_{p} (x)$ with constant j-invariant