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.
Deformations of algebraic schemes via Reedy–Palamodov cofibrant resolutions / Manetti M.; Meazzini F.. - In: INDAGATIONES MATHEMATICAE. - ISSN 0019-3577. - STAMPA. - 31:1(2020), pp. 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.File | Dimensione | Formato | |
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