Let A be an abelian variety over a discretely valued field. Edixhoven has defined a filtration on the special fiber of the Néron model of A that measures the behavior of the Néron 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.
Eriksson D., Halle L.H., Nicaise J. (2015). A logarithmic interpretation of Edixhoven's jumps for Jacobians. ADVANCES IN MATHEMATICS, 279, 532-574 [10.1016/j.aim.2015.04.007].
A logarithmic interpretation of Edixhoven's jumps for Jacobians
Halle L. H.;
2015
Abstract
Let A be an abelian variety over a discretely valued field. Edixhoven has defined a filtration on the special fiber of the Néron model of A that measures the behavior of the Néron 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.File in questo prodotto:
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