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- W2013888891 abstract "Let X be a complex smooth projective variety, and G a locally free sheaf on X. We show that there is a one-to-one correspondence between pairs (Λ, Ξ), where Λ is a sheaf of almost polynomial filtered algebras over X satisfying Simpson’s axioms and $ equiv :GrLambda to Sym bullet _{mathcal{O}_X } mathcal{G}$ is an isomorphism, and pairs (L, Σ), where L is a holomorphic Lie algebroid structure on $mathcal{G}$ and Σ is a class in F 1 H 2(L, ℂ), the first Hodge filtration piece of the second cohomology of L. As an application, we construct moduli spaces of semistable flat L-connections for any holomorphic Lie algebroid L. Particular examples of these are given by generalized holomorphic bundles for any generalized complex structure associated to a holomorphic Poisson manifold." @default.
- W2013888891 created "2016-06-24" @default.
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- W2013888891 date "2012-05-31" @default.
- W2013888891 modified "2023-10-02" @default.
- W2013888891 title "Λ-modules and holomorphic Lie algebroid connections" @default.
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- W2013888891 doi "https://doi.org/10.2478/s11533-012-0065-z" @default.
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