Zobrazeno 1 - 10
of 332
pro vyhledávání: '"Andres, Fernandez"'
We introduce local invariants of algebraic spaces and stacks which measure how far they are from being a scheme. Using these invariants, we develop mostly topological criteria to determine when the moduli space of a stack is a scheme. As an applicati
Externí odkaz:
http://arxiv.org/abs/2411.07169
We resolve an open problem posed by Alexeev-Knutson on the projectivity of the moduli of branchvarieties in the equidimensional case. As an application, we construct projective moduli spaces of reduced equidimensional varieties equipped with ample li
Externí odkaz:
http://arxiv.org/abs/2410.10753
We explain some results concerning the topology of varieties and stacks equipped with an action of the multiplicative group $\mathbb{G}_m$. We apply these techniques to the moduli of Higgs bundles. Our main application is to upgrade the cohomological
Externí odkaz:
http://arxiv.org/abs/2408.03275
Autor:
Bejleri, Dori, Foster, Josiah, Herrero, Andres Fernandez, Inchiostro, Giovanni, Makarova, Svetlana, Zhao, Junyan
In this article, we construct an infinite sequence of irreducible components of Koll\'{a}r--Shepherd-Barron (KSB-) moduli spaces of surfaces of arbitrarily large volumes, and describe the boundary of each component completely. Moreover, we describe t
Externí odkaz:
http://arxiv.org/abs/2407.05539
In this paper, we show that for any reductive group $G$ the moduli space of semistable $G$-Higgs bundles on a curve in characteristic $p$ is a twisted form of the moduli space of semistable flat $G$-connections. This is the semistable version of a pr
Externí odkaz:
http://arxiv.org/abs/2310.09923
Identification of cracks is essential to assess the structural integrity of concrete infrastructure. However, robust crack segmentation remains a challenging task for computer vision systems due to the diverse appearance of concrete surfaces, variabl
Externí odkaz:
http://arxiv.org/abs/2309.09637
Fix a smooth projective family of curves $C \to S$ and a split reductive group scheme $G$ over a Noetherian base scheme $S$. For any (possibly nonreduced) fixed relative Cartier divisor $D$, we provide a treatment of the moduli of $G$-bundles on the
Externí odkaz:
http://arxiv.org/abs/2307.16755
We use techniques of Alper-Hall-Rydh to prove a local structure theorem for smooth morphisms between smooth stacks around points with linearly reductive stabilizers. This implies that the good moduli space of a smooth stack over a base has equisingul
Externí odkaz:
http://arxiv.org/abs/2307.00350
We construct moduli spaces of objects in an abelian categories satisfying some finiteness hypotheses. Our approach is based on the work of Artin-Zhang and the intrinsic construction of moduli spaces for stacks developed by Alper-Halpern-Leistner-Hein
Externí odkaz:
http://arxiv.org/abs/2305.10543
For a reductive group $G$, Harder-Narasimhan theory gives a structure theorem for principal $G$ bundles on a smooth projective curve $C$. A bundle is either semistable, or it admits a canonical parabolic reduction whose associated Levi bundle is semi
Externí odkaz:
http://arxiv.org/abs/2305.09632