STNB2020(34th edition)
Reduction type of genus-3 curves in special strata of their moduli space
Presenters
Anna Somoza
Abstract
The goal of this talk is to give a classification of the reduction of genus-3 curves whose automorphism group contains a subgroup isomorphic to the Klein group, in the lines of Liu's classification of the reduction of genus-2 curves. We will first compute all possible reduction types, and then characterize when each case is attained in terms of the valuations of the coefficients of a normalized model of the curve.
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