Results 61 to 70 of about 318 (158)

Extension Problem for Flexible Varieties

open access: yes, 2019
We consider n - dimensional, with n greater or equal to 4, flexible quasi-affine varieties X, that are varieties on which the group generated by all one-parameter unipotent subgroups of Aut(X) acts transitively.
Udumyan, David
core   +1 more source

Ribbon Tableaux, Hall-Littlewood Functions And Unipotent Varieties

open access: yes, 1997
We introduce a new family of symmetric functions, which are defined in terms of ribbon tableaux and generalize Hall-Littlewood functions. We present a series of conjectures, and prove them in two special cases.
Jean-yves Thibon   +2 more
core  

Equivariant-constructible Koszul duality for dual toric varieties

open access: yes, 2006
For affine toric varieties X and Xˇ defined by dual cones, we define an equivalence of categories between mixed versions of the equivariant derived category DTb(X) and the derived category of sheaves on Xˇ which are locally constant with unipotent ...
Braden, Tom, Lunts, Valery A.
core   +1 more source

Selmer varieties for curves with CM Jacobians

open access: yes, 2008
We study the Selmer variety associated to a canonical quotient of the $\Q_p$-pro-unipotent fundamental group of a smooth projective curve of genus at least two defined over $\Q$ whose Jacobian decomposes into a product of abelian varieties with complex ...
Coates, John   +5 more
core   +1 more source

Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras

open access: yes, 2005
In commutative algebra, a Weitzenböck derivation is a nonzero triangular linear derivation of the polynomial algebra K[x1,…,xm] in several variables over a field K of characteristic 0.
Drensky, Vesselin, Gupta, C.K.
core   +1 more source

On the irreducibility of the commuting variety of a symmetric pair associated to a parabolic subalgebra with abelian unipotent radical

open access: yes, 2004
In this paper, we study the commuting variety of symmetric pairs associated to parabolic subalgebras with abelian unipotent radical in a simple complex Lie algebra. By using the ``cascade'' construction of Kostant, we construct a Cartan subspace which in turn provides, in certain cases, useful information on the centralizers of non $\mathfrak{p ...
Sabourin, Herve, Yu, Rupert W. T.
openaire   +2 more sources

Cohomologies of unipotent harmonic bundles over quasi-projective varieties I: The case of noncompact curves

open access: yes, 2005
Let $S$ be a Riemann surface obtained by deleting a finite number of points, called cusps, from a compact Riemann surface. Let $ρ: π_1(S)\to Sl(n, \mathbb{C})$ be a semisimple linear representation of $π_1(S)$ which is unipotent near the cusps. We investigate various cohomologies associated to $ρ$ of $\bar S$ with degenerating coefficients $L_ρ ...
Jost, Juergen, Yang, Yi-Hu, Zuo, Kang
openaire   +2 more sources

Arithmetic geometry of character varieties with regular monodromy, I

open access: yes, 2023
We study character varieties arising as moduli of representations of an orientable surface group into a reductive group $G$. We first show that if $G/Z$ acts freely on the representation variety, then both the representation variety and the character ...
Nam, GyeongHyeon   +2 more
core  

Lagrangian Fibrations. [PDF]

open access: yesMilan J Math, 2022
Huybrechts D, Mauri M.
europepmc   +1 more source

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