A logarithmic interpretation of Edixhoven's jumps for Jacobians

Artikel i vetenskaplig tidskrift, 2015

Let A be an abelian variety over a discretely valued field. Edixhoven has defined a filtration on the special fiber of the Neron model of A that measures the behavior of the Neron model under tame base change. We interpret the jumps in this filtration in terms of lattices of logarithmic differential forms in the case where A is the Jacobian of a curve C, and we give a compact explicit formula for the jumps in terms of the combinatorial reduction data of C.