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.

Jacobians

Arithmetic curves

Logarithmic geometry

Neron models

Författare

Dennis Eriksson

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

L. H. Halle

Kobenhavns Universitet

J. Nicaise

KU Leuven

Advances in Mathematics

0001-8708 (ISSN) 1090-2082 (eISSN)

Vol. 279 532-574

Ämneskategorier

Matematik

DOI

10.1016/j.aim.2015.04.007