1 citations · 2 across the 8 of their papers we have counts for
8 papers
Deformations of morphisms of coherent sheaves
Donatella Iacono, Emma Lepri, Elena Martinengo
We generalise Hinich's Theorem of descent of Deligne groupoids to the case where the dgLas involved have no negative cohomology. We apply this result to study the infinitesimal def…
Trivial extension DG-algebras, unitally positive -algebras, and applications
Joseph Karmazyn, Emma Lepri, Michael Wemyss
To any periodic module over any algebra, this paper introduces an associated trivial extension DG-algebra T. After first passing to a strictly unital -minimal model, it t…
An elementary approach to the model structure on DG-Lie algebras
Emma Lepri
This paper contains an elementary proof of the existence of the classical model structure on the category of unbounded DG-Lie algebras over a field of characteristic zero, with an…
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…
Cyclic forms on DG-Lie algebroids and semiregularity
Emma Lepri
Given a transitive DG-Lie algebroid over a smooth separated scheme of finite type over a field of characteristic we define a notion of conne…
Connections and liftings of semiregularity maps
Emma Lepri, Marco Manetti
Let be a finite complex of locally free sheaves on a complex manifold . We prove that to every connection of type on it is canonically associated an $L_{\inf…
On deformations of diagrams of commutative algebras
Emma Lepri, Marco Manetti
In this paper we study classical deformations of diagrams of commutative algebras over a field of characteristic 0. In particular we determine several homotopy classes of DG-Lie al…