Local arithmetic of hyperelliptic curves

Mardi 12 janvier 2016 14:15-15:15 - Tim Dokchitser - Bristol University

Résumé : I will report on an ongoing project with Vladimir Dokchitser, Celine Maistret and Adam Morgan. For a curve over a local field we would like to understand and be able to compute its Galois representation and the associated invariants of : Tamagawa numbers, root numbers, existence of local points, the shape of the semistable model and so on. I will talk about a possible approach to this, and illustrate it in the case of hyperelliptic curves.

Lieu : Bât. 425, salle 117-119

Local arithmetic of hyperelliptic curves  Version PDF