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 algebra…
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…
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…