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FROBENIUS-AFFINE STRUCTURES AND TANGO CURVES

Part of: Curves

Published online by Cambridge University Press:  24 November 2022

YUICHIRO HOSHI Open the ORCID record for YUICHIRO HOSHI [Opens in a new window]
YUICHIRO HOSHI*
Affiliation:
Research Institute for Mathematical Sciences Kyoto University Kyoto 606-8502 Japan
*
yuichiro@kurims.kyoto-u.ac.jp
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Abstract

In a previous paper, we discussed Frobenius-projective structures on projective smooth curves in positive characteristic and established a relationship between pseudo-coordinates and Frobenius-indigenous structures by means of Frobenius-projective structures. In the present paper, we discuss an “affine version” of this study of Frobenius-projective structures. More specifically, we discuss Frobenius-affine structures and establish a similar relationship between Tango functions and Frobenius-affine-indigenous structures by means of Frobenius-affine structures. Moreover, we also consider a relationship between these objects and Tango curves.

MSC classification

Primary: 14H25: Arithmetic ground fields
Type
Article
Information
Nagoya Mathematical Journal , Volume 250 , June 2023 , pp. 385 - 409
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal

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Footnotes

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

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