Results 71 to 80 of about 318 (158)

Vanishing theorems for Shimura varieties at unipotent level [PDF]

open access: yes, 2019
We show that the compactly supported cohomology of Shimura varieties of Hodge type of infinite $\Gamma_1(p^\infty)$-level (defined with respect to a Borel subgroup) vanishes above the middle degree, under the assumption that the group of the Shimura ...
Gulotta, Daniel R   +2 more
core  

The geometry of generalized Steinberg varieties

open access: yes, 2004
For a reductive, algebraic group, G, the Steinberg variety of G is the set of all triples consisting of a unipotent element, u, in G and two Borel subgroups of G that contain u. We define generalized Steinberg varieties that depend on four parameters and
Douglass, J   +2 more
core   +1 more source

The structure of the pro-l-unipotent fundamental group of a smooth variety

open access: yes, 2004
By developing a theory of deformations over nilpotent Lie algebras, based on Schlessinger's deformation theory over Artinian rings, this paper investigates the pro-l-unipotent fundamental group of a variety X. If X is smooth and proper, defined over a finite field, then the Weil conjectures imply that this group is quadratically presented.
openaire   +3 more sources

Small G-varieties

open access: yes, 2020
An affine varieties with an action of a semisimple group $G$ is called "small" if every non-trivial $G$-orbit in $X$ is isomorphic to the orbit of a highest weight vector. Such a variety $X$ carries a canonical action of the multiplicative group $\mathbb{
Kraft, Hanspeter   +2 more
core  

An Euler system for GU(2, 1). [PDF]

open access: yesMath Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source

Lusztig Varieties and Macdonald Polynomials

open access: yes
This paper uses Lusztig varieties to give central elements of the Iwahori-Hecke algebra corresponding to unipotent conjugacy classes in the finite Chevalley group $$GL_n(\mathbb {F}_q)$$ G
Ram, A
core   +2 more sources

Regenerative Engineering: Current Applications and Future Perspectives. [PDF]

open access: yesFront Surg, 2021
Goldenberg D   +3 more
europepmc   +1 more source

Closure of Steinberg Fibers and Affine Deligne-Lusztig Varieties

open access: yes, 2010
We discuss some connections between the closure (F) over bar of a Steinberg fiber in the wonderful compactification of an adjoint group and the affine Deligne-Lusztig varieties X(w)(1) in the affine flag variety.
He, Xuhua, X. He
core   +1 more source

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