6 papers · 1 filter
On semi-stable integral models for Shimura varieties
Jie Yang, Ioannis Zachos, Zhihao Zhao
We construct (potentially) semi-stable integral models for a class of Shimura varieties with maximal parahoric level at an odd prime . The main input is an explicit construction…
On -adic integral moduli schemes and local models for PEL type D
Jie Yang, Ioannis Zachos, Zhihao Zhao
We construct flat integral moduli schemes of PEL type D and the corresponding flat orthogonal Rapoport--Zink spaces with parahoric level structure over a -adic integer ring. The…
Topological flatness of orthogonal spin local models
Jie Yang
Let be an odd prime and be a complete discretely valued field with residue field of characteristic . For any parahoric level structure of the split even orthogonal simil…
On the flatness of spin local models for split even orthogonal groups
Jie Yang
Let be a complete discretely valued field with ring of integers and residue field of characteristic . Let denote the split orthogo…
Prime Geodesic Theorem for Arithmetic Compact Surfaces: Principal Congruence Case
Chenhao Tang, Han Wu, Jie Yang +1
We generalize Koyama's bound of the error term in the prime geodesic theorems to the principal congruence subgroups for quaternion algebras. Our method avoids the spectral s…
Wildly ramified unitary local models for special parahorics. The odd dimensional case
Jie Yang
We construct local models for wildly ramified unitary similitude groups of odd dimension with special parahoric level structure and signature . We first give a l…