For hyperelliptic curves over local fields with residue characteristic 2, even-cardinality clusters of roots of f determine loops in the graph of the relatively stable model's special fiber if and only if cluster depth exceeds a computable threshold, with an added formula for 2-rank.
Reduction of hyperelli ptic curves in characteristic ̸= 2
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Clusters, toric ranks, and 2-ranks of hyperelliptic curves in the wild case
For hyperelliptic curves over local fields with residue characteristic 2, even-cardinality clusters of roots of f determine loops in the graph of the relatively stable model's special fiber if and only if cluster depth exceeds a computable threshold, with an added formula for 2-rank.