4 papers
Pappas's conjecture on ramified unitary local models
Yu Luo
We prove that the wedge local model for a ramified unitary group of signature () at self-dual level is flat when , confirming Pappas's conjecture in this c…
Transfers and Unstable Degrees in the -Brouwer Degrees Package for Macaulay2
Stephanie Atherton, Somak Dutta, Jordy Lopez Garcia +4
We describe a significant update to the Macaulay2 package A1BrouwerDegrees. We extend several methods in the previous version of the package to the setting of finite étale algebras…
Kudla-Rapoport conjecture for unramified maximal parahoric level
Yu Luo
We prove the Kudla-Rapoport conjecture for unramified unitary groups with maximal parahoric level structure. Our approach differs from the local proof given in Li-W.Zhang. We reduc…
Unitary Shimura varieties at ramified primes and arithmetic transfer
Yu Luo, Andreas Mihatsch, Zhiyu Zhang
We consider unitary Shimura varieties at places where the totally real field ramifies over $\mbQ$. Our first result constructs comparison isomorphisms between absolute and relative…