Characterization of Completions of Noncatenary Local Domains and Noncatenary Local UFDs
- Award ID(s):
- 1947438
- PAR ID:
- 10144313
- Date Published:
- Journal Name:
- Journal of algebra
- Volume:
- 524
- Issue:
- 2019
- ISSN:
- 1090-266X
- Page Range / eLocation ID:
- 1-18
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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Abstract We construct local models of Shimura varieties and investigate their singularities, with special emphasis on wildly ramified cases. More precisely, with the exception of odd unitary groups in residue characteristic 2 we construct local models, show reducedness of their special fiber, Cohen–Macaulayness and in equicharacteristic also (pseudo-)rationality. In mixed characteristic we conjecture their pseudo-rationality. This is based on the construction of parahoric group schemes over two dimensional bases for wildly ramified groups and an analysis of singularities of the attached Schubert varieties in positive characteristic using perfect geometry.more » « less
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