6 citations · 8 across the 7 of their papers we have counts for
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Semiregularity maps and deformations of modules over Lie algebroids
Ruggero Bandiera, Emma Lepri, Marco Manetti
We determine a DG-Lie algebra controlling deformations of a locally free module over a Lie algebroid . Moreover, for every flat inclusion of Lie algebroids $\mathcal{A…
liftings of semiregularity maps via Chern-Simons classes
Ruggero Bandiera, Emma Lepri, Marco Manetti
We introduce the notion of Chern-Simons classes for curved DG-pairs and we prove that a particular case of this general construction provides canonical liftings of Buchw…
Formality conjecture for minimal surfaces of Kodaira dimension 0
Ruggero Bandiera, Marco Manetti, Francesco Meazzini
Let F be a polystable sheaf on a smooth minimal projective surface of Kodaira dimension 0. Then the DG-Lie algebra RHom(F,F) of derived endomorphisms of F is formal. The proof is b…
Deformations of polystable sheaves on surfaces: quadraticity implies formality
Ruggero Bandiera, Marco Manetti, Francesco Meazzini
We study relations between the quadraticity of the Kuranishi family of a coherent sheaf on a complex projective scheme and the formality of the DG-Lie algebra of its derived endomo…