Abstract
In a recent paper of Dokchitser-Dokchitser-Maistret-Morgan, the authors introduced the concept of a cluster picture associated to a hyperelliptic curve from which they are able to recover numerous invariants, including the inertia representation on the first étale cohomology group of the curve. The purpose of this paper is to explore the functionality of these cluster pictures and prove that the inertia representation of a hyperelliptic curve is a function of its cluster picture.
Citation
Matthew Bisatt. "Clusters, inertia, and root numbers." Funct. Approx. Comment. Math. 66 (2) 203 - 243, June 2022. https://doi.org/10.7169/facm/1973
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