Semi-stable and splitting models for unitary Shimura varieties over ramified places. I

• Published in: Forum of mathematics. Sigma Vol. 13
• Main Authors: Zachos, Ioannis, Zhao, Zhihao
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 17.07.2025
• Subjects: 11G18; 14G35; Fields (mathematics); Number Theory; Subgroups; 14G35; 11G18

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 le...