Brendan Creutz

Locally trivial torsors that are not Weil–Châtelet divisible

For every prime p we give infinitely many examples of torsors under abelian varieties over Q that are locally trivial but not divisible by p in the Weil-Ch\^atelet group. We also give an example of a locally trivial torsor under an elliptic curve over Q which is not divisible by 4 in the Weil-Ch\^atelet group. This gives a negative answer to a question of Cassels.

On Brauer groups of double covers of ruled surfaces

Let

Second isogeny descents and the Birch and Swinnerton-Dyer conjectural formula

X

A Grunwald–Wang type theorem for abelian varieties

X be a smooth double cover of a geometrically ruled surface defined over a separably closed field of characteristic different from

On automorphism groups of toroidal circle planes

2

Explicit Second p-Descent on Elliptic Curves

2. The main result of this paper is a finite presentation of the