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math.AG2021★ 1 cited
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…
math.AG2021
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…
math.AG2021★ 1 cited
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…