Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Zamora, Alfonso"'
Given $G$ an algebraic reductive group over an algebraically closed field of characteristic zero and $\Gamma$ a finitely generated group, we provide a stratification of the $G$-character variety of $\Gamma$ in terms of conjugacy classes of parabolic
Externí odkaz:
http://arxiv.org/abs/2408.03111
In this survey we provide an overview of some recent developments in the construction of moduli spaces using stack-theoretic techniques. We will also explain the analogue of Harder-Narasimhan stratifications for general stacks, known as $\Theta$-stra
Externí odkaz:
http://arxiv.org/abs/2302.01871
Let X be a smooth projective variety and let G be a connected reductive group, both defined over a field of characteristic 0. Given a faithful representation $\rho$ of G into a product of general linear groups, we define a moduli stack of principal $
Externí odkaz:
http://arxiv.org/abs/2107.03918
Let $\mathcal{X}_{\Gamma}G:=\mathrm{Hom}(\Gamma,G)/\!/G$ be the $G$-character variety of $\Gamma$, where $G$ is a complex reductive group and $\Gamma$ a finitely presented group. We introduce new techniques for computing Hodge-Deligne and Serre polyn
Externí odkaz:
http://arxiv.org/abs/2006.14520
Publikováno v:
Journal of Geometry and Physics, Volume 161, March 2021
Let $G$ be a complex reductive group and $\mathcal{X}_{r}G$ denote the $G$-character variety of the free group of rank $r$. Using geometric methods, we prove that $E(\mathcal{X}_{r}SL_{n})=E(\mathcal{X}_{r}PGL_{n})$, for any $n,r\in\mathbb{N}$, where
Externí odkaz:
http://arxiv.org/abs/1912.05852
This survey intends to present the basic notions of Geometric Invariant Theory (GIT) through its paradigmatic application in the construction of the moduli space of holomorphic vector bundles. Special attention is paid to the notion of stability from
Externí odkaz:
http://arxiv.org/abs/1910.11630
Publikováno v:
Math. Nacrichten 2021
With G=GL(n,C), let $\mathcal{X}_{\Gamma}G$ be the G-character variety of a given finitely presented group $\Gamma$, and let $\mathcal{X}^{irr}_{\Gamma}G \subset \mathcal{X}_{\Gamma}G$ be the locus of irreducible representation conjugacy classes. We
Externí odkaz:
http://arxiv.org/abs/1902.06837
Akademický článek
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The aim of this paper is to find generating sets of commuting involutions and use them to explicitly construct minimal representations of Clifford algebras $Cl(n)_{p,q}$. By results of [HL] and [LW], we know the dimension of such minimal representati
Externí odkaz:
http://arxiv.org/abs/1707.05013
Publikováno v:
In Journal of Geometry and Physics March 2021 161