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Autor:
Lepri, Emma
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 emphasis on the properties of free and semifree extensions, which are
Externí odkaz:
http://arxiv.org/abs/2211.11669
We determine a DG-Lie algebra controlling deformations of a locally free module over a Lie algebroid $\mathcal{A}$. Moreover, for every flat inclusion of Lie algebroids $\mathcal{A}\subset \mathcal{L}$ we introduce semiregularity maps and prove that
Externí odkaz:
http://arxiv.org/abs/2208.00694
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 $L_\infty$ liftings of Buchweitz-Flenner semiregularity maps for coherent sheaves on complex manif
Externí odkaz:
http://arxiv.org/abs/2111.12985
Autor:
Lepri, Emma
Given a transitive DG-Lie algebroid $(\mathcal{A}, \rho)$ over a smooth separated scheme $X$ of finite type over a field $\mathbb{K}$ of characteristic $0$ we define a notion of connection $\nabla \colon \mathbf{R}\Gamma(X,\mathrm{Ker} \rho) \to \mat
Externí odkaz:
http://arxiv.org/abs/2104.12658
Autor:
Lepri, Emma, Manetti, Marco
Let $E^*$ be a finite complex of locally free sheaves on a complex manifold $X$. We prove that to every connection of type $(1,0)$ on $E^*$ it is canonically associated an $L_{\infty}$ morphism $g\colon A^{0, *}_X(\mathcal{H}om^*_{O_X}(E^*,E^*))\to \
Externí odkaz:
http://arxiv.org/abs/2102.05016
Publikováno v:
In Advances in Mathematics 15 December 2023 435 Part A
Autor:
Lepri, Emma, Manetti, Marco
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 algebras, each one of them controlling this above deformation problem: t
Externí odkaz:
http://arxiv.org/abs/1902.10436
Autor:
Lepri, Emma, Manetti, Marco
Publikováno v:
In Journal of Geometry and Physics October 2021 168
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