TY - JOUR
AU - Zachos, Ioannis
AB - We study local models that describe the singularities of Shimura varieties of non-PEL type for orthogonal groups at primes where the level subgroup is given by the stabilizer of a single lattice. In particular, we use the Pappas–Zhu construction and we give explicit equations that describe an open subset around the “worst” point of orthogonal local models given by a single lattice. These equations display the affine chart of the local model as a hypersurface in a determinantal scheme. Using this, we prove that the special fiber of the local model is reduced and Cohen–Macaulay.
TI - On Orthogonal Local Models of Hodge Type
JO - International Mathematics Research Notices
DO - 10.1093/imrn/rnac147
DA - 2022-06-02
UR - https://www.deepdyve.com/lp/oxford-university-press/on-orthogonal-local-models-of-hodge-type-SE15jB6uyh
SP - 10799
EP - 10836
VL - 2023
IS - 13
DP - DeepDyve
ER -