Galois actions on Néron models of Jacobians

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Galois actions on Néron models of Jacobians. / Halle, Lars H.

I: Annales de l'Institut Fourier, Bind 60, Nr. 3, 2010, s. 853-903.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Halle, LH 2010, 'Galois actions on Néron models of Jacobians', Annales de l'Institut Fourier, bind 60, nr. 3, s. 853-903. https://doi.org/10.5802/aif.2541

APA

Halle, L. H. (2010). Galois actions on Néron models of Jacobians. Annales de l'Institut Fourier, 60(3), 853-903. https://doi.org/10.5802/aif.2541

Vancouver

Halle LH. Galois actions on Néron models of Jacobians. Annales de l'Institut Fourier. 2010;60(3):853-903. https://doi.org/10.5802/aif.2541

Author

Halle, Lars H. / Galois actions on Néron models of Jacobians. I: Annales de l'Institut Fourier. 2010 ; Bind 60, Nr. 3. s. 853-903.

Bibtex

@article{a022ba5e00064d3bb99a051b31936173,
title = "Galois actions on N{\'e}ron models of Jacobians",
abstract = "Let X be a smooth curve defined over the fraction field K of a complete discrete valuation ring R. We study a natural filtration of the special fiber of the N{\'e}ron model of the Jacobian of X by closed, unipotent subgroup schemes. We show that the jumps in this filtration only depend on the fiber type of the special fiber of the minimal regular model with strict normal crossings for X over R, and in particular are independent of the residue characteristic. Furthermore, we obtain information about where these jumps occur. We also compute the jumps for each of the finitely many possible fiber types for curves of genus 1 and 2.",
keywords = "Group actions on cohomology, Models of curves, N{\'e}, Ron models, Tame cyclic quotient singularities",
author = "Halle, {Lars H.}",
year = "2010",
doi = "10.5802/aif.2541",
language = "English",
volume = "60",
pages = "853--903",
journal = "Annales de l'Institut Fourier",
issn = "0373-0956",
publisher = "Institut Fourier",
number = "3",

}

RIS

TY - JOUR

T1 - Galois actions on Néron models of Jacobians

AU - Halle, Lars H.

PY - 2010

Y1 - 2010

N2 - Let X be a smooth curve defined over the fraction field K of a complete discrete valuation ring R. We study a natural filtration of the special fiber of the Néron model of the Jacobian of X by closed, unipotent subgroup schemes. We show that the jumps in this filtration only depend on the fiber type of the special fiber of the minimal regular model with strict normal crossings for X over R, and in particular are independent of the residue characteristic. Furthermore, we obtain information about where these jumps occur. We also compute the jumps for each of the finitely many possible fiber types for curves of genus 1 and 2.

AB - Let X be a smooth curve defined over the fraction field K of a complete discrete valuation ring R. We study a natural filtration of the special fiber of the Néron model of the Jacobian of X by closed, unipotent subgroup schemes. We show that the jumps in this filtration only depend on the fiber type of the special fiber of the minimal regular model with strict normal crossings for X over R, and in particular are independent of the residue characteristic. Furthermore, we obtain information about where these jumps occur. We also compute the jumps for each of the finitely many possible fiber types for curves of genus 1 and 2.

KW - Group actions on cohomology

KW - Models of curves

KW - Né

KW - Ron models

KW - Tame cyclic quotient singularities

UR - http://www.scopus.com/inward/record.url?scp=77958464767&partnerID=8YFLogxK

U2 - 10.5802/aif.2541

DO - 10.5802/aif.2541

M3 - Journal article

AN - SCOPUS:77958464767

VL - 60

SP - 853

EP - 903

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

SN - 0373-0956

IS - 3

ER -

ID: 233909847