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Title: Regular integral models for Shimura varieties of orthogonal type
We consider Shimura varieties for orthogonal or spin groups acting on hermitian symmetric domains of type IV. We give regular $$p$$ -adic integral models for these varieties over odd primes $$p$$ at which the level subgroup is the connected stabilizer of a vertex lattice in the orthogonal space. Our construction is obtained by combining results of Kisin and the first author with an explicit presentation and resolution of a corresponding local model.  more » « less
Award ID(s):
2100743
PAR ID:
10411243
Author(s) / Creator(s):
;
Date Published:
Journal Name:
Compositio Mathematica
Volume:
158
Issue:
4
ISSN:
0010-437X
Page Range / eLocation ID:
831 to 867
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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