Deformations over non-commutative base

We make some remarks on deformation theory over non-commutative base. We describe the base algebra of semi-universal non-commutative deformations using vector spaces $T^1$ and $T^2$.

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Main Author: Kawamata, Yujiro
Format: Article
Language:English
Published: Académie des sciences 2024-06-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.622/
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author Kawamata, Yujiro
author_facet Kawamata, Yujiro
author_sort Kawamata, Yujiro
collection DOAJ
description We make some remarks on deformation theory over non-commutative base. We describe the base algebra of semi-universal non-commutative deformations using vector spaces $T^1$ and $T^2$.
format Article
id doaj-art-5b523f7baed041dd8b5f722418da9767
institution Kabale University
issn 1778-3569
language English
publishDate 2024-06-01
publisher Académie des sciences
record_format Article
series Comptes Rendus. Mathématique
spelling doaj-art-5b523f7baed041dd8b5f722418da97672025-02-07T11:13:30ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-06-01362S115916910.5802/crmath.62210.5802/crmath.622Deformations over non-commutative baseKawamata, Yujiro0Graduate School of Mathematical Sciences, University of Tokyo, Komaba, Meguro, Tokyo, 153-8914, JapanWe make some remarks on deformation theory over non-commutative base. We describe the base algebra of semi-universal non-commutative deformations using vector spaces $T^1$ and $T^2$.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.622/
spellingShingle Kawamata, Yujiro
Deformations over non-commutative base
Comptes Rendus. Mathématique
title Deformations over non-commutative base
title_full Deformations over non-commutative base
title_fullStr Deformations over non-commutative base
title_full_unstemmed Deformations over non-commutative base
title_short Deformations over non-commutative base
title_sort deformations over non commutative base
url https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.622/
work_keys_str_mv AT kawamatayujiro deformationsovernoncommutativebase