Normality and Cohen-Macaulayness of local models of Shimura varieties

TL;DR

This paper proves that local models of Shimura varieties with Iwahori level structure are normal and Cohen-Macaulay in the unramified case, confirming important geometric properties of these models.

Contribution

It establishes the normality and Cohen-Macaulayness of local models of Shimura varieties in the unramified case, advancing understanding of their geometric structure.

Findings

Local models are normal in the unramified case.

Local models are Cohen-Macaulay in the unramified case.

Results apply specifically to Iwahori level structures.

Abstract

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