J. Scholten

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19992005

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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.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…

math.NT2000

Geometry and arithmetic on a quintic threefold

Caterina Consani, Jasper Scholten

The paper investigates some aspects of the geometry and the arithmetic of a non-rigid Calabi-Yau threefold. Particular emphasis is given to the study of its L-function L(H^3,s) and…

math.NT1999

A non-selfdual 4-dimensional Galois representation

Jasper Scholten

In this paper it is explained how one can construct non-selfdual 4-dimensional $ℓ$ -adic Galois representations of Hodge type $h^{3, 0} = h^{2, 1} = h^{1, 2} = h^{0, 3} = 1$ , assuming a hypo…

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

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

Geometry and arithmetic on a quintic threefold

A non-selfdual 4-dimensional Galois representation

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