2008•Communications in AlgebraRequires access

On Curves with Split Jacobians

Takuya Yamauchi

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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.

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What this paper is about

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.

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Mathematics, Jacobian matrix and determinant, Genus, Pure mathematics, Algebra over a field, Applied mathematics, Zoology, Biology

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