Derived Intersections and Free dg-Lie Algebroids - Archive ouverte HAL
Journal Articles Publications of the Research Institute for Mathematical Sciences Year : 2021

Derived Intersections and Free dg-Lie Algebroids

Abstract

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.

Domains

Algebraic Geometry [math.AG]
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Submitted on : Friday, January 28, 2022-1:21:57 PM

Last modification on : Wednesday, October 30, 2024-1:33:27 PM

Long-term archiving on : Friday, April 29, 2022-8:22:51 PM

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hal-03547214 , version 1 (28-01-2022)

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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⟩

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