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

Farb, B.Kisin, Mark2015-03-112009Farb, B., and M. Kisin. 2009. “Rigidity, Locally Symmetric Varieties, and the Grothendieck-Katz Conjecture.” International Mathematics Research Notices 22: 4159-4167.1073-7928http://nrs.harvard.edu/urn-3:HUL.InstRepos:14117741Using 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.en-USRigidity, Locally Symmetric Varieties, and the Grothendieck-Katz ConjectureJournal Article2015-03-1110.1093/imrn/rnp082