Hendrik Verhoek

most citedEtale subquotients of prime torsion of abelian schemes

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.NT2012★ 1 cited

Etale subquotients of prime torsion of abelian schemes

Hendrik Verhoek

Let $A$ be an abelian variety over a number field $K$ with good reduction outside a finite set of primes $S$ . We show that if the $ℓ$ -torsion subgroup schemes $A [ℓ^{n}]$ lie in…

math.NT2012

Extensions of group schemes of $μ$ -type by a constant group scheme

Hendrik Verhoek

For a number field $K$ , a finite set of primes $S$ not containing a fixed prime $p$ , we explain when extensions of group schemes of $μ_{p}$ by $Z / p Z$ split over the ring of $S$ -int…

math.NT2012

Modularity of abelian varieties over $\Q$ with bad reduction in one prime only

Hendrik Verhoek

We show that certain abelian varieties over $\Q$ with bad reduction at one prime only are modular by using methods based on the tables of Odlyzko and class field theory.

Etale subquotients of prime torsion of abelian schemes

Extensions of group schemes of μ-type by a constant group scheme

Modularity of abelian varieties over $\Q$ with bad reduction in one prime only

Extensions of group schemes of $μ$ -type by a constant group scheme