| Autor: |
Caraiani, Ana, Gulotta, Daniel R., Johansson, Christian |
| Předmět: |
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| Zdroj: |
Journal of the European Mathematical Society (EMS Publishing); 2023, Vol. 25 Issue 3, p869-911, 43p |
| Abstrakt: |
We show that the compactly supported cohomology of Shimura varieties of Hodge type of infinite Γ1(p∞)-level (defined with respect to a Borel subgroup) vanishes above the middle degree, under the assumption that the group of the Shimura datum splits at p. This generalizes and strengthens the vanishing result proved in [A. Caraiani et al., Compos. Math. 156 (2020)]. As an application of this vanishing theorem, we prove a result on the codimensions of ordinary completed homology for the same groups, analogous to conjectures of Calegari-Emerton for completed (Borel-Moore) homology. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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