Duke Mathematical Journal

Normality and Cohen–Macaulayness of local models of Shimura varieties

Xuhua He

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Abstract

We prove that in the unramified case, local models of Shimura varieties with Iwahori level structure are normal and Cohen–Macaulay.

Article information

Source
Duke Math. J., Volume 162, Number 13 (2013), 2509-2523.

Dates
First available in Project Euclid: 8 October 2013

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1381238851

Digital Object Identifier
doi:10.1215/00127094-2371864

Mathematical Reviews number (MathSciNet)
MR3127807

Zentralblatt MATH identifier
1327.14121

Subjects
Primary: 14G35: Modular and Shimura varieties [See also 11F41, 11F46, 11G18]
Secondary: 14M15: Grassmannians, Schubert varieties, flag manifolds [See also 32M10, 51M35] 14M27: Compactifications; symmetric and spherical varieties

Citation

He, Xuhua. Normality and Cohen–Macaulayness of local models of Shimura varieties. Duke Math. J. 162 (2013), no. 13, 2509--2523. doi:10.1215/00127094-2371864. https://projecteuclid.org/euclid.dmj/1381238851


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References

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