3-torsion and conductor of genus 2 curves

Tim Dokchitser; Christopher Doris

doi:10.1090/mcom/3387

3-torsion and conductor of genus 2 curves

Tim Dokchitser, Christopher Doris

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We give an algorithm to compute the conductor for curves of genus 2. It is based on the analysis of 3-torsion of the Jacobian for genus 2 curves over 2-adic fields.

Original language	English
Pages (from-to)	1913-1927
Number of pages	15
Journal	Mathematics of Computation
Volume	88
Early online date	14 Nov 2018
DOIs	https://doi.org/10.1090/mcom/3387
Publication status	E-pub ahead of print - 14 Nov 2018

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via AMS at http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2018-03387-7/home.html . Please refer to any applicable terms of use of the publisher.
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1 Finished

Arithmetic of hyperelliptic curves.
Dokchitser, T.
1/06/15 → 30/11/18
Project: Research

Cite this

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title = "3-torsion and conductor of genus 2 curves",

abstract = "We give an algorithm to compute the conductor for curves of genus 2. It is based on the analysis of 3-torsion of the Jacobian for genus 2 curves over 2-adic fields.",

author = "Tim Dokchitser and Christopher Doris",

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AU - Dokchitser, Tim

AU - Doris, Christopher

PY - 2018/11/14

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N2 - We give an algorithm to compute the conductor for curves of genus 2. It is based on the analysis of 3-torsion of the Jacobian for genus 2 curves over 2-adic fields.

AB - We give an algorithm to compute the conductor for curves of genus 2. It is based on the analysis of 3-torsion of the Jacobian for genus 2 curves over 2-adic fields.

U2 - 10.1090/mcom/3387

DO - 10.1090/mcom/3387

M3 - Article (Academic Journal)

VL - 88

SP - 1913

EP - 1927

JO - Mathematics of Computation

JF - Mathematics of Computation

SN - 0025-5718

ER -

3-torsion and conductor of genus 2 curves

Abstract

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Projects

Arithmetic of hyperelliptic curves.

Cite this