Valuations of a finite, genus-dependent list of explicitly defined absolute invariants determine the stable model tree and therefore the dual graph of the special fibre of a semistable hyperelliptic curve over a local field of odd residue characteristic.
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Invariants recovering the reduction type of a hyperelliptic curve
Valuations of a finite, genus-dependent list of explicitly defined absolute invariants determine the stable model tree and therefore the dual graph of the special fibre of a semistable hyperelliptic curve over a local field of odd residue characteristic.