On Curves with Split Jacobians
Takuya Yamauchi
Abstract
Takuya Yamauchi
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.
OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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