Clusters, inertia, and root numbers
Copyright policy )Clusters, inertia, and root numbers
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.
Minor corrections
- University of Bristol United Kingdom
Abelian varieties of dimension \(> 1\), Curves over finite and local fields, hyperelliptic curves, Mathematics - Number Theory, Galois representations, FOS: Mathematics, Number Theory (math.NT), cluster pictures, 530, Polynomials, 510
Abelian varieties of dimension \(> 1\), Curves over finite and local fields, hyperelliptic curves, Mathematics - Number Theory, Galois representations, FOS: Mathematics, Number Theory (math.NT), cluster pictures, 530, Polynomials, 510
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