## Geometry Seminar - Abstracts

### Talk

Wednesday 8 March 2017, 16:00 - 17:00 in HG03.085

**Kentaro Mitsui** (Kobe University)

*Models of torsors under elliptic curves*

### Abstract

Any proper smooth geometrically integral curve of genus one over a
field can be given as a torsor under an elliptic curve. We study the
special fibers of the minimal proper regular models of such torsors
over a complete discrete valuation field. We classify the
configurations of their irreducible components when the residue field
is perfect. As an application, we show the existence of separable
closed points of small degree on the original curves when the residue
field is finite.

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