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A logarithmic interpretation of Edixhoven's jumps for Jacobians
File | Description | Size | Format | |
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1403.5538v1.pdf | Accepted version | 297.16 kB | Adobe PDF | View/Open |
Title: | A logarithmic interpretation of Edixhoven's jumps for Jacobians |
Authors: | Eriksson, D Halle, LH Nicaise, J |
Item Type: | Journal Article |
Abstract: | 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 behaviour 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 $C$. |
Issue Date: | 2-May-2015 |
Date of Acceptance: | 7-Apr-2015 |
URI: | http://hdl.handle.net/10044/1/30655 |
DOI: | https://dx.doi.org/10.1016/j.aim.2015.04.007 |
ISSN: | 0001-8708 |
Publisher: | Elsevier |
Start Page: | 532 |
End Page: | 574 |
Journal / Book Title: | Advances in Mathematics |
Volume: | 279 |
Copyright Statement: | © 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ |
Sponsor/Funder: | Commission of the European Communities |
Funder's Grant Number: | 306610 |
Keywords: | math.AG General Mathematics 0101 Pure Mathematics |
Publication Status: | Published |
Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |