Minimal SNC Models of Hyperelliptic Curves over DVRs via Cluster Pictures

Lead Research Organisation: King's College London
Department Name: Mathematics

Abstract

The minimal SNC model of a hyperelliptic curve over a DVR with semistable reduction is known and can be described explicitly using so-called cluster pictures. I aim to calculate the minimal SNC model of more general hyperelliptic curves, those with tame potentially semistable reduction, also via cluster pictures - beginning with curves over DVRs with algebraically closed residue fields, and hopefully moving onto a general DVR. This will have applications in the study of Galois representations of hyperelliptic curves.

Publications

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Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/R512400/1 01/10/2017 31/03/2022
1927420 Studentship EP/R512400/1 25/09/2017 30/09/2021 Omri Faraggi