Geodesic
Semi-stable and splitting models for unitary Shimura varieties over ramified places. I.
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e119

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We consider Shimura varieties associated to a unitary group of signature $(n-s,s)$ where n is even. For these varieties, we construct smooth p-adic integral models for $s=1$ and regular p-adic integral models for $s=2$ and $s=3$ over odd primes p which ramify in the imaginary quadratic field with level subgroup at p given by the stabilizer of a $\pi $-modular lattice in the hermitian space. Our construction, which has an explicit moduli-theoretic description, is given by an explicit resolution of a corresponding local model. 
Zachos, Ioannis; Zhao, Zhihao. Semi-stable and splitting models for unitary Shimura varieties over ramified places. I.. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e119. doi: 10.1017/fms.2025.10079
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