2 papers
math.NT2026
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…
math.AG2025
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…