27 citations · 63 across the 10 of their papers we have counts for
16 papers
Tamagawa number formula for Jacobians
Tim Dokchitser
We give a product formula for the Tamagawa numbers of Jacobians over a discrete valuation field with perfect residue field k. It comes as a product of four terms - unipotent, toric…
A classification of reduction types of curves
Tim Dokchitser
The aim of this paper is to classify reduction types of algebraic curves. Reduction types capture the discrete invariants of fibres in one-dimensional families of curves, and they…
Character formula for Weil representations in terms of Frobenius traces
Tim Dokchitser, Vladimir Dokchitser
It is known that the etale cohomology of a potentially good abelian variety over a local field K is determined by its Euler factors over the extensions of K. We extend this to all…
Character formula for conjugacy classes in a coset
Tim Dokchitser, Vladimir Dokchitser
Let be a finite group and a normal subgroup with abelian. We show how the conjugacy classes of in a given coset relate to the irreducible characters of …
Tame torsion and the tame inverse Galois problem
Matthew Bisatt, Tim Dokchitser
Fix a positive integer and a squarefree integer . We prove the existence of a genus curve such that the mod representation of its Jacobian is tame. Th…
Tate module and bad reduction
Tim Dokchitser, Vladimir Dokchitser, Adam Morgan
Let C/K be a curve over a local field. We study the natural semilinear action of Galois on the minimal regular model of C over a field F where it becomes semistable. This allows us…