English

Derived intersections and free dg-Lie algebroids

Algebraic Geometry 2020-02-05 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.2002.01285,
  title  = {Derived intersections and free dg-Lie algebroids},
  author = {Julien Grivaux},
  journal= {arXiv preprint arXiv:2002.01285},
  year   = {2020}
}

Comments

To appear in RIMS, special issue dedicated to the 70th birthday of Prof. Masaki Kashiwara

R2 v1 2026-06-23T13:30:43.849Z