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Shimura varieties at level $\unicode[STIX]{x1D6E4}_{1}(p^{\infty })$ and Galois representations

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Published in 2020 at "Compositio Mathematica"

DOI: 10.1112/s0010437x20007149

Abstract: We show that the compactly supported cohomology of certain $\text{U}(n,n)$- or $\text{Sp}(2n)$-Shimura varieties with $\unicode[STIX]{x1D6E4}_{1}(p^{\infty })$-level vanishes above the middle degree. The only assumption is that we work over a CM field $F$ in which… read more here.

Keywords: x1d6e4 infty; shimura varieties; stix x1d6e4; unicode stix ... See more keywords