Let X be a Noetherian separated and finite dimensional scheme over a field K of characteristic zero. The goal of this paper is to study deformations of X over a differential graded local Artin K-algebra by using local Tate–Quillen resolutions, i.e., the algebraic analogous of the Palamodov's resolvent of a complex space. The above goal is achieved by describing the DG-Lie algebra controlling deformation theory of a diagram of differential graded commutative algebras, indexed by a direct Reedy category.

Manetti M., Meazzini F. (2020). Deformations of algebraic schemes via Reedy–Palamodov cofibrant resolutions. INDAGATIONES MATHEMATICAE, 31(1), 7-32 [10.1016/j.indag.2019.08.007].

Deformations of algebraic schemes via Reedy–Palamodov cofibrant resolutions

Meazzini F.
2020

Abstract

Let X be a Noetherian separated and finite dimensional scheme over a field K of characteristic zero. The goal of this paper is to study deformations of X over a differential graded local Artin K-algebra by using local Tate–Quillen resolutions, i.e., the algebraic analogous of the Palamodov's resolvent of a complex space. The above goal is achieved by describing the DG-Lie algebra controlling deformation theory of a diagram of differential graded commutative algebras, indexed by a direct Reedy category.
2020
Manetti M., Meazzini F. (2020). Deformations of algebraic schemes via Reedy–Palamodov cofibrant resolutions. INDAGATIONES MATHEMATICAE, 31(1), 7-32 [10.1016/j.indag.2019.08.007].
Manetti M.; Meazzini F.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/896936
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