3 papers
math.AG2025
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…
math.NT2025
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…
math.AG2025
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…