Publication: Torsion in the Coherent Cohomology of Shimura Varieties and Galois Representations
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2015-05-18
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Boxer, George A. 2015. Torsion in the Coherent Cohomology of Shimura Varieties and Galois Representations. Doctoral dissertation, Harvard University, Graduate School of Arts & Sciences.
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Abstract
We introduce a method for producing congruences between Hecke eigenclasses, possibly torsion, in the coherent cohomology of automorphic vector bundles on certain good reduction Shimura varieties. The congruences are produced using some ``generalized Hasse invariants'' adapted to the Ekedahl-Oort stratification of the special fiber.
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Mathematics
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