Number Theory Seminar

Speaker: Kentaro Mitsui (Kobe University)

Title: Closed points on torsors under abelian varieties.

Abstract: We show the existence of a separable closed point of small degree on any torsor under an abelian variety over a complete discrete valuation field under mild assumptions on the residue field of the valuation ring and the reduction of the abelian variety. To show the existence, we introduce and study minimal models of torsors under quasi-projective smooth group schemes.