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Duality for dormant opers

Abstract

In the present paper, we prove that on a fixed pointed stable curve of characteristic p>0p>0, there exists a duality between dormant sln\mathfrak{sl}_n-opers (1<n<p11 < n <p-1) and dormant sl(pn)\mathfrak{sl}_{(p-n)}-opers. Also, we prove that there exists a unique (up to isomorphism) dormant sl(p1)\mathfrak{sl}_{(p-1)}-oper on a fixed pointed stable curve of characteristic p>0p>0.Comment: 41 page

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