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: the first homotopy type is described in terms of the projective model structure on the category of diagrams of differential graded algebras, the others in terms of the Reedy model structure on truncated Bousfield-Kan approximations. The first half of the paper contains an elementary introduction to the projective model structure on the category of commutative differential graded algebras, while the second half is devoted to the main results.

On deformations of diagrams of commutative algebras / Lepri, E.; Manetti, M.. - (2020), pp. 77-107. - SPRINGER INDAM SERIES. [10.1007/978-3-030-37114-2_6].

On deformations of diagrams of commutative algebras

Lepri E.;Manetti M.
2020

Abstract

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: the first homotopy type is described in terms of the projective model structure on the category of diagrams of differential graded algebras, the others in terms of the Reedy model structure on truncated Bousfield-Kan approximations. The first half of the paper contains an elementary introduction to the projective model structure on the category of commutative differential graded algebras, while the second half is devoted to the main results.
2020
Springer INdAM Series
978-3-030-37113-5
978-3-030-37114-2
deformation theory; differential graded algebras; model categories
02 Pubblicazione su volume::02a Capitolo o Articolo
On deformations of diagrams of commutative algebras / Lepri, E.; Manetti, M.. - (2020), pp. 77-107. - SPRINGER INDAM SERIES. [10.1007/978-3-030-37114-2_6].
File allegati a questo prodotto
File Dimensione Formato  
Lepri_Deformations-diagrams-algebras_2020.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 477.26 kB
Formato Adobe PDF
477.26 kB Adobe PDF   Contatta l'autore
Lepri_Deformations-diagrams-algebras_copertina_indice_2020.pdf

solo gestori archivio

Note: IMHO bastava il DOI
Tipologia: Altro materiale allegato
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 343.26 kB
Formato Adobe PDF
343.26 kB Adobe PDF   Contatta l'autore
Lepri_Deformations-diagrams-algebras_postprint_2020.pdf

solo gestori archivio

Tipologia: Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza: Creative commons
Dimensione 410.4 kB
Formato Adobe PDF
410.4 kB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1375558
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact