5 citations · 6 across the 10 of their papers we have counts for
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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…
On the Linear AFL: The Non-Basic Case
Qirui Li, Andreas Mihatsch
The linear Arithmetic Fundamental Lemma (AFL) conjecture compares intersection numbers on Lubin--Tate deformation spaces with derivatives of orbital integrals. It has been introduc…
-Forms on Lubin--Tate Space
Andreas Mihatsch
We extend Gubler--Künnemann's theory of -forms from algebraic varieties to good Berkovich spaces. This is based on the observation that skeletons in such spaces satisfy a tropic…
On Tropical Intersection Theory
Andreas Mihatsch
We develop a tropical intersection formalism of forms and currents that extends classical tropical intersection theory in two ways. First, it allows to work with arbitrary polytope…
Local Constancy of Intersection Numbers
Andreas Mihatsch
We prove that, in certain situations, intersection numbers on formal schemes that come in profinite families vary locally constantly in the parameter. To this end, we define the pr…
Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma
Andreas Mihatsch
We verify new cases of the Arithmetic Fundamental Lemma (AFL) of Wei Zhang. This relies on a recursive algorithm which allows, under certain conditions, to reduce the AFL identity…
On the Arithmetic Fundamental Lemma through Lie algebras
Andreas Mihatsch
We prove that the Arithmetic Fundamental Lemma conjecture of Wei Zhang is equivalent to a similar conjecture, but for Lie algebras, in the case of non-degenerate intersection. We u…