March 2021 A note on the existence of Tango curves
Yuichiro Hoshi
Author Affiliations +
Kodai Math. J. 44(1): 77-80 (March 2021). DOI: 10.2996/kmj44105

Abstract

In the present paper, we prove that, for an odd prime number $p$ and a positive integer $g$ such that $g-1$ is divisible by $p$, there exists a Tango curve of genus $g$ in characteristic $p$.

Funding Statement

This research was supported by JSPS KAKENHI Grant Number 18K03239 and by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University.

Citation

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Yuichiro Hoshi. "A note on the existence of Tango curves." Kodai Math. J. 44 (1) 77 - 80, March 2021. https://doi.org/10.2996/kmj44105

Information

Received: 24 June 2020; Revised: 22 July 2020; Published: March 2021
First available in Project Euclid: 23 March 2021

Digital Object Identifier: 10.2996/kmj44105

Subjects:
Primary: 14H05

Keywords: Tango curve , Tango function

Rights: Copyright © 2021 Tokyo Institute of Technology, Department of Mathematics

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Vol.44 • No. 1 • March 2021
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