A logarithmic interpretation of Edixhoven's jumps for Jacobians

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Title: A logarithmic interpretation of Edixhoven's jumps for Jacobians
Author(s): 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 $C$.
Publication 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
math.AG
General Mathematics
0101 Pure Mathematics
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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