Nearby cycles on the GU(n-1,1) local model are trivial for odd n; for even n only one higher cohomology sheaf is non-vanishing, with its Galois action given by a computed Frobenius eigenvalue.
Local Models for Ramified Unitary Groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Nearby cycles on the local model for the $\mathrm{GU}(n-1,1)$ PEL Shimura variety over a ramified prime
Nearby cycles on the GU(n-1,1) local model are trivial for odd n; for even n only one higher cohomology sheaf is non-vanishing, with its Galois action given by a computed Frobenius eigenvalue.