Andreas Mihatsch

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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.AG2024

$I^´$ -Forms on Lubin--Tate Space

Andreas Mihatsch

We extend Gubler--KÃ¼nnemann's theory of $I^´$ -forms from algebraic varieties to good Berkovich spaces. This is based on the observation that skeletons in such spaces satisfy a trop…

Unitary Shimura varieties at ramified primes and arithmetic transfer

I^´-Forms on Lubin--Tate Space

$I^´$ -Forms on Lubin--Tate Space