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We show that for a Frobenius split variety, there are only finitely many closed subvarieties which are compatibly-split.
Brion, M. and Kumar, S.: Frobenius splitting methods in geometry and representation theory
2005
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Enescu, F. and Hochster, M.: The Frobenius structure of local cohomology, Preprint (2007) (To appear in J. Algebra and Number Theory)
2007
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Schwede, K.: F F -adjunction, Preprint (2009)
2009
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