A logarithmic interpretation of Edixhoven's jumps for Jacobians

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A logarithmic interpretation of Edixhoven's jumps for Jacobians. / Eriksson, Dennis; Halle, Lars Halvard; Nicaise, Johannes.

I: Advances in Mathematics, Bind 279, 2015, s. 532–574.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Eriksson, D, Halle, LH & Nicaise, J 2015, 'A logarithmic interpretation of Edixhoven's jumps for Jacobians', Advances in Mathematics, bind 279, s. 532–574. https://doi.org/10.1016/j.aim.2015.04.007

APA

Eriksson, D., Halle, L. H., & Nicaise, J. (2015). A logarithmic interpretation of Edixhoven's jumps for Jacobians. Advances in Mathematics, 279, 532–574. https://doi.org/10.1016/j.aim.2015.04.007

Vancouver

Eriksson D, Halle LH, Nicaise J. A logarithmic interpretation of Edixhoven's jumps for Jacobians. Advances in Mathematics. 2015;279:532–574. https://doi.org/10.1016/j.aim.2015.04.007

Author

Eriksson, Dennis ; Halle, Lars Halvard ; Nicaise, Johannes. / A logarithmic interpretation of Edixhoven's jumps for Jacobians. I: Advances in Mathematics. 2015 ; Bind 279. s. 532–574.

Bibtex

@article{b38b1b35c1cc444d8275b42a04327c66,
title = "A logarithmic interpretation of Edixhoven's jumps for Jacobians",
abstract = "Let A be an abelian variety over a discretely valued field. Edixhoven has defined a filtration on the special fiber of the N\'eron model of A that measures the behaviour of the N\'eron 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. ",
keywords = "math.AG",
author = "Dennis Eriksson and Halle, {Lars Halvard} and Johannes Nicaise",
year = "2015",
doi = "10.1016/j.aim.2015.04.007",
language = "English",
volume = "279",
pages = "532–574",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press",

}

RIS

TY - JOUR

T1 - A logarithmic interpretation of Edixhoven's jumps for Jacobians

AU - Eriksson, Dennis

AU - Halle, Lars Halvard

AU - Nicaise, Johannes

PY - 2015

Y1 - 2015

N2 - Let A be an abelian variety over a discretely valued field. Edixhoven has defined a filtration on the special fiber of the N\'eron model of A that measures the behaviour of the N\'eron 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. 

AB - Let A be an abelian variety over a discretely valued field. Edixhoven has defined a filtration on the special fiber of the N\'eron model of A that measures the behaviour of the N\'eron 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. 

KW - math.AG

U2 - 10.1016/j.aim.2015.04.007

DO - 10.1016/j.aim.2015.04.007

M3 - Journal article

VL - 279

SP - 532

EP - 574

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

ER -

ID: 130020360