Zobrazeno 1 - 10
of 138
pro vyhledávání: '"Bartocci, Claudio"'
Publikováno v:
SIGMA 16 (2020), 069, 13 pages
We prove that certain quiver varieties are irreducible and therefore are isomorphic to Hilbert schemes of points of the total spaces of the bundles $\mathcal O_{\mathbb P^1}(-n)$ for $n \ge 1$.
Externí odkaz:
http://arxiv.org/abs/2003.05890
Over the past two decades several different approaches to defining a geometry over ${\mathbb F}_1$ have been proposed. In this paper, relying on To\"en and Vaqui\'e's formalism, we investigate a new category ${\mathsf{Sch}}_{\widetilde{\mathsf B}}$ o
Externí odkaz:
http://arxiv.org/abs/1905.01183
Publikováno v:
Journal of Algebra 546 (2020) 432-456
We study the Ext modules in the category of left modules over a twisted algebra of a finite quiver over a ringed space $(X,\mathcal O_X)$, allowing for the presence of relations. We introduce a spectral sequence which relates the Ext modules in that
Externí odkaz:
http://arxiv.org/abs/1806.04697
In the first part of this paper we provide a survey of some fundamental results about moduli spaces of framed sheaves on smooth projective surfaces. In particular, we outline a result by Bruzzo and Markushevich, and discuss a few significant examples
Externí odkaz:
http://arxiv.org/abs/1610.02731
Autor:
Bartocci, Claudio, Tacchella, Alberto
We introduce a notion of noncommutative Poisson-Nijenhuis structure on the path algebra of a quiver. In particular, we focus on the case when the Poisson bracket arises from a noncommutative symplectic form. The formalism is then applied to the study
Externí odkaz:
http://arxiv.org/abs/1604.02012
Publikováno v:
J. Pure Appl. Algebra 221 (2017) 2132-2155
In a previous paper, a realization of the moduli space of framed torsion-free sheaves on Hirzebruch surfaces in terms of monads was given. We build upon that result to construct ADHM data for the Hilbert scheme of points of the total space of the lin
Externí odkaz:
http://arxiv.org/abs/1504.02987
Publikováno v:
In Journal of Algebra 15 March 2020 546:432-456
Publikováno v:
Adv. Geom. 15 (2015) 55-76
Relying on a monadic description of the moduli space of framed sheaves on Hirzebruch surfaces, we construct ADHM data for the Hilbert scheme of points of the total space of the line bundle $\mathcal O(-n)$ on $\mathbb P^1$.
Comment: 23 pages. v2
Comment: 23 pages. v2
Externí odkaz:
http://arxiv.org/abs/1403.0460
Publikováno v:
Adv. Geom. 15 (2015) 55-76
We define monads for framed torsion-free sheaves on Hirzebruch surfaces and use them to construct moduli spaces for these objects. These moduli spaces are smooth algebraic varieties, and we show that they are fine by constructing a universal monad.
Externí odkaz:
http://arxiv.org/abs/1205.3613
Autor:
Bartocci, Claudio, Mencattini, Igor
Given a special Kahler manifold M, we give a new, direct proof of the relationship between the quaternionic structure on its cotangent bundle and the variation of Hodge structures on the complexification of TM.
Comment: Revised version; 14 pages
Comment: Revised version; 14 pages
Externí odkaz:
http://arxiv.org/abs/math-ph/0702028