[图书][B] Algebraic spaces and stacks
M Olsson - 2016 - books.google.com
This book is an introduction to the theory of algebraic spaces and stacks intended for
graduate students and researchers familiar with algebraic geometry at the level of a first …
graduate students and researchers familiar with algebraic geometry at the level of a first …
On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic curves
A Castorena, F Neumann - Bulletin des Sciences Mathématiques, 2024 - Elsevier
On actions of Frobenius morphisms for moduli stacks of principal bundles over algebraic
curves - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …
curves - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Help …
Generalized principal bundles and quotient stacks
E Caviglia - arXiv preprint arXiv:2302.07852, 2023 - arxiv.org
We consider the internalization of the usual notion of principal bundle in a site that has all
pullbacks and a terminal object. We use this notion to consider the explicit construction of …
pullbacks and a terminal object. We use this notion to consider the explicit construction of …
Virtual classes of character stacks
Á González-Prieto, M Hablicsek, J Vogel - arXiv preprint arXiv:2201.08699, 2022 - arxiv.org
In this paper, we extend the Topological Quantum Field Theory developed by Gonz\'alez-
Prieto, Logares, and Mu\~ noz for computing virtual classes of $ G $-representation varieties …
Prieto, Logares, and Mu\~ noz for computing virtual classes of $ G $-representation varieties …
Maurer–Cartan spaces of filtered -algebras
S Yalin - Journal of Homotopy and Related Structures, 2016 - Springer
We study several homotopical and geometric properties of Maurer–Cartan spaces for L_ ∞
L∞-algebras which are not nilpotent, but only filtered in a suitable way. Such algebras play …
L∞-algebras which are not nilpotent, but only filtered in a suitable way. Such algebras play …
Principal 2-bundles and quotient 2-stacks
E Caviglia - arXiv preprint arXiv:2403.09379, 2024 - arxiv.org
We generalize principal bundles and quotient stacks to the two-categorical context of bisites.
We introduce a notion of principal 2-bundle that makes sense for a 2-category with finite …
We introduce a notion of principal 2-bundle that makes sense for a 2-category with finite …
Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable stacks
I Biswas, S Chatterjee, P Koushik… - Journal of …, 2023 - ems.press
Atiyah sequences and connections on principal bundles over Lie groupoids and differentiable
stacks Page 1 J. Noncommut. Geom. 17 (2023), 407–437 DOI 10.4171/JNCG/486 © 2023 …
stacks Page 1 J. Noncommut. Geom. 17 (2023), 407–437 DOI 10.4171/JNCG/486 © 2023 …
On the quasicompactness of the moduli stack of logarithmic G-connections over a curve
AF Herrero - arXiv preprint arXiv:2002.11832, 2020 - arxiv.org
Fix a smooth projective curve over a field of characteristic zero and a finite set of punctures.
Let G be a connected linear algebraic group. We prove that the moduli of G-bundles with …
Let G be a connected linear algebraic group. We prove that the moduli of G-bundles with …
Moduli of semistable sheaves as quiver moduli
A Maiorana - arXiv preprint arXiv:1709.05555, 2017 - arxiv.org
In the 1980s Dr\'ezet and Le Potier realized moduli spaces of Gieseker-semistable sheaves
on $\mathbb {P}^ 2$ as what are now called quiver moduli spaces. We discuss how this …
on $\mathbb {P}^ 2$ as what are now called quiver moduli spaces. We discuss how this …
Rational Homotopy and Hodge Theory of Moduli Stacks of principal -bundles
F Neumann - arXiv preprint arXiv:2405.17113, 2024 - arxiv.org
For a semisimple complex algebraic group $ G $ we determine the rational cohomology and
the Hodge-Tate structure of the moduli stack ${\mathscr B} un_ {G, X} $ of principal $ G …
the Hodge-Tate structure of the moduli stack ${\mathscr B} un_ {G, X} $ of principal $ G …