Pietro Tortella

activity

20102020

most citedRepresentations of the Heisenberg algebra and moduli spaces of framed sheaves

2 citations · 3 across the 4 of their papers we have counts for

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math.AG2016

Moduli spaces of $Λ$ -modules on abelian varieties

Emilio Franco, Pietro Tortella

We study the moduli space $M_{X} (Λ, n)$ of semistable $Λ$ -modules of vanishing Chern classes over an abelian variety $X$ , where $Λ$ belongs to a certain subclass of $D$ -alge…

math.AG2015

Representations of Atiyah algebroids and logarithmic connections

Pietro Tortella

In this paper, we investigate representations of $At (N)$ , the Atiyah algebroids of a holomorphic line bundles $N$ over a complex manifold $Y$ . In particular, we rela…

math.AG2011

$Λ$ -modules and holomorphic Lie algebroid connections

Pietro Tortella

Let $X$ be a complex smooth projective variety, and $G$ a locally free sheaf on $X$ . We show that there is a 1-to-1 correspondence between pairs $(Λ, Ξ)$ , where $Λ$ is a s…

math.AG2010★ 2 cited

Representations of the Heisenberg algebra and moduli spaces of framed sheaves

Francesco Sala, Pietro Tortella

We give a `geometrical' construction of an action of a Heisenberg algebra on the homology of the moduli spaces of torsion free sheaves on a complex smooth connected projective surf…

Moduli spaces of Λ-modules on abelian varieties

Representations of Atiyah algebroids and logarithmic connections

Λ-modules and holomorphic Lie algebroid connections

Representations of the Heisenberg algebra and moduli spaces of framed sheaves

Moduli spaces of $Λ$ -modules on abelian varieties

$Λ$ -modules and holomorphic Lie algebroid connections