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Rigidity, Locally Symmetric Varieties, and the Grothendieck-Katz Conjecture

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2009

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Oxford University Press (OUP)
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Farb, B., and M. Kisin. 2009. “Rigidity, Locally Symmetric Varieties, and the Grothendieck-Katz Conjecture.” International Mathematics Research Notices 22: 4159-4167.

Abstract

Using Margulis's results on lattices in semisimple Lie groups, we prove the Grothendieck–Katz p-curvature conjecture for many locally symmetric varieties, including Hilbert–Blumenthal modular varieties and the moduli space of abelian varieties Graphic when g > 1.

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