17 citations · 53 across the 10 of their papers we have counts for
10 papers
Stability of Alexandrov-Fenchel Type Inequalities for Nearly Spherical Sets in Space Forms
Rong Zhou, Tailong Zhou
In this paper, we first derive a quantitative quermassintegral inequality for nearly spherical sets in and , which is a generalization of the q…
Anisotropic weighted isoperimetric inequalities for star-shaped and -mean convex hypersurface
Rong Zhou, Tailong Zhou
We prove two anisotropic type weighted geometric inequalities that hold for star-shaped and -mean convex hypersurfaces in . These inequalities involve the anis…
Stabilizers of irreducible components of affine Deligne--Lusztig varieties
Xuhua He, Rong Zhou, Yihang Zhu
We study the -action on the set of top-dimensional irreducible components of affine Deligne--Lusztig varieties in the affine Grassmannian. We show that the stabilizer of an…
Independence of for Frobenius conjugacy classes attached to abelian varieties
Mark Kisin, Rong Zhou
Let be an abelian variety over a number field and let denote the Mumford--Tate group of . After replacing by a finite ex…
Motivic cohomology of quaternionic Shimura varieties and level raising
Rong Zhou
We study the motivic cohomology of the special fiber of quaternionic Shimura varieties at a prime of good reduction. We exhibit classes in these motivic cohomology groups and use t…
Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties
Rong Zhou, Yihang Zhu
We analyze the asymptotic behavior of certain twisted orbital integrals arising from the study of affine Deligne-Lusztig varieties. The main tools include the Base Change Fundament…
Mod- isogeny classes on Shimura varieties with parahoric level structure
Rong Zhou
We study the special fiber of the integral models for Shimura varieties of Hodge type with parahoric level structure constructed by Kisin and Pappas in [KP]. We show that when the…
Serre-Tate theory for Shimura varieties of Hodge type
Ananth N. Shankar, Rong Zhou
We study the formal neighbourhood of a point in -ordinary locus of an integral model of a Hodge type Shimura variety. We show that this formal neighbourhood has a structure of a…
On the connected components of affine Deligne-Lusztig varieties
Xuhua He, Rong Zhou
We study the set of connected components of certain unions of affine Deligne-Lusztig varieties arising from the study of Shimura varieties. We determine the set of connected compon…
Rational points on twisted K3 surfaces and derived equivalences
Kenneth Ascher, Krishna Dasaratha, Alexander Perry +1
Using a construction of Hassett--Várilly-Alvarado, we produce derived equivalent twisted K3 surfaces over , , and , where one has a rational p…