Derived Intersections and Free dg-Lie Algebroids

Julien Grivaux (1)

1 IMJ-PRG (UMR_7586) - Institut de Mathématiques de Jussieu - Paris Rive Gauche

We study free dg-Lie algebroids over arbitrary derived schemes, and compute their universal enveloping and jet algebras. We also introduce derived twisted connections, and relate them with lifts on twisted square zero extensions. This construction allows us to provide new conceptual approaches of existing results concerning the derived deformation theory of subschemes.

Mots clés: dg-Lie algebroids; universal enveloping algebras; twisted connections; square zero extensions; deformation theory

Domaines: Géométrie algébrique [math.AG]

Julien Grivaux. Derived Intersections and Free dg-Lie Algebroids. Publications of the Research Institute for Mathematical Sciences, 2021, 57 (3), pp.1049-1087. ⟨10.4171/PRIMS/57-3-11⟩. ⟨hal-03547214⟩