52 citations · 65 across the 7 of their papers we have counts for
17 papers
Normality and Cohen-Macaulayness of parahoric local models
Thomas J. Haines, Timo Richarz
We study the singularities of integral models of Shimura varieties and moduli stacks of shtukas with parahoric level structure. More generally our results apply to the Pappas-Zhu a…
Smoothness of Schubert varieties in twisted affine Grassmannians
Thomas J. Haines, Timo Richarz
We give a complete list of smooth and rationally smooth normalized Schubert varieties in the twisted affine Grassmannian associated with a tamely ramified group and a special verte…
On the normality of Schubert varieties: remaining cases in positive characteristic
Thomas J. Haines, João Lourenço, Timo Richarz
We study the geometry of equicharacteristic partial affine flag varieties associated to tamely ramified groups in characteristics dividing the order of the fundamental gr…
The Test Function Conjecture for Local Models of Weil-restricted groups
Thomas J. Haines, Timo Richarz
We prove the test function conjecture of Kottwitz and the first named author for local models of Shimura varieties with parahoric level structure attached to Weil-restricted groups…
The test function conjecture for parahoric local models
Thomas J. Haines, Timo Richarz
We prove the test function conjecture of Kottwitz and the first named author for local models of Shimura varieties with parahoric level structure, and their analogues in equal char…
Dualities for root systems with automorphisms and applications to non-split groups
Thomas J. Haines
This article establishes some elementary dualities for root systems with automorphisms. We give several applications to reductive groups over nonarchimedean local fields: (1) the p…