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A NOTE ON DORMANT OPERS OF RANK $p-1$ IN CHARACTERISTIC $p$

Part of: Curves

Published online by Cambridge University Press:  19 February 2018

YUICHIRO HOSHI
YUICHIRO HOSHI*
Affiliation:
Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan email yuichiro@kurims.kyoto-u.ac.jp
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Abstract

In this paper, we prove that the set of equivalence classes of dormant opers of rank $p-1$ over a projective smooth curve of genus ${\geqslant}2$ over an algebraically closed field of characteristic $p>0$ is of cardinality one.

MSC classification

Primary: 14H60: Vector bundles on curves and their moduli
Type
Article
Information
Nagoya Mathematical Journal , Volume 235 , September 2019 , pp. 115 - 126
Copyright
© 2018 Foundation Nagoya Mathematical Journal  

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Footnotes

This research was supported by JSPS KAKENHI Grant Number 15K04780.

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