We construct unramified central simple algebras representing 2-torsion classes in the Brauer group of a hyperelliptic curve, and show that every 2-torsion class can be constructed this way when the curve has a rational Weierstrass point or when the base field is C1. In general, we show that a large (but in general proper) subgroup of the 2torsion classes are given by the construction. Examples ...

In this brief note, we prove the following two Artin-Schreier curves are supersin-gular.

In this paper, we consider the L2-gradient flow for modified p-elastic energy defined on planar closed curves. We formulate a notion of weak solution and prove existence global-in-time solutions with p≥2 initial curves in space via minimizing movements. Moreover, unique to p=2 obtain their subconvergence an elastica as t→∞. Nous nous penchons sur le flot de gradient L2 l'équation p-élastique mo...

Let