On curves with split Jacobians

Takuya Yamauchi

doi:10.1080/00927870701866622

On curves with split Jacobians

Takuya Yamauchi

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this article, we give a new proof of the existence of curves of genus 5 and 17 with split Jacobian by constructing explicit two families of such curves over number fields.

Original language	English
Pages (from-to)	1419-1425
Number of pages	7
Journal	Communications in Algebra
Volume	36
Issue number	4
DOIs	https://doi.org/10.1080/00927870701866622
Publication status	Published - 2008 Apr
Externally published	Yes

Keywords

Algebraic curves
Splitting of Jacobian variables

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1080/00927870701866622

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title = "On curves with split Jacobians",

abstract = "In this article, we give a new proof of the existence of curves of genus 5 and 17 with split Jacobian by constructing explicit two families of such curves over number fields.",

keywords = "Algebraic curves, Splitting of Jacobian variables",

author = "Takuya Yamauchi",

note = "Funding Information: The author is partially supported by JSPS Grant-in-Aid for Scientific Research No. 16204002, and No. 17340008. I would like to express my appreciation to the referee for many valuable comments and suggestions of corrections to the original version.",

year = "2008",

month = apr,

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volume = "36",

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N1 - Funding Information: The author is partially supported by JSPS Grant-in-Aid for Scientific Research No. 16204002, and No. 17340008. I would like to express my appreciation to the referee for many valuable comments and suggestions of corrections to the original version.

PY - 2008/4

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N2 - In this article, we give a new proof of the existence of curves of genus 5 and 17 with split Jacobian by constructing explicit two families of such curves over number fields.

AB - In this article, we give a new proof of the existence of curves of genus 5 and 17 with split Jacobian by constructing explicit two families of such curves over number fields.

KW - Algebraic curves

KW - Splitting of Jacobian variables

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