For simple Shimura varieties whose local group is an arbitrary inner form of a product of Weil-restricted general linear groups, the Scholze test functions satisfy the expected vanishing and base-change properties, yielding the semisimple cohomology description.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the cohomology of simple Shimura varieties with non quasi-split local groups
For simple Shimura varieties whose local group is an arbitrary inner form of a product of Weil-restricted general linear groups, the Scholze test functions satisfy the expected vanishing and base-change properties, yielding the semisimple cohomology description.