Comptes Rendus
Algebraic geometry
Corrections to “Singular Hochschild cohomology via the singularity category” [C. R. Acad. Sci. Paris, Ser. I 356 (2018) 1106–1111]
[Corrigendum à « La cohomologie de Hochschild singulière via la catégorie des singularités » [C. R. Acad. Sci. Paris, Ser. I 356 (2018) 1106–1111]]
Comptes Rendus. Mathématique, Volume 357 (2019) no. 6, pp. 533-536.

Nous corrigeons une erreur qui s'est glissée dans la démonstration du théorème principal de « La cohomologie singulière via la catégorie des singularités », ainsi que des imprécisions dans la démonstration du théorème de reconstruction.

We correct a mistake that occurred in the proof of the main theorem of “Singular Hochschild cohomology via singularity categories” and some inaccuracies in the proof of the reconstruction theorem.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2019.06.004
Bernhard Keller 1

1 Université Paris-Diderot – Paris-7, UFR de mathématiques, Institut de mathématiques de Jussieu–PRG, UMR 7586 du CNRS, case 7012, bâtiment Sophie Germain, 75205 Paris cedex 13, France
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Bernhard Keller. Corrections to “Singular Hochschild cohomology via the singularity category” [C. R. Acad. Sci. Paris, Ser. I 356 (2018) 1106–1111]. Comptes Rendus. Mathématique, Volume 357 (2019) no. 6, pp. 533-536. doi : 10.1016/j.crma.2019.06.004. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.06.004/

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[5] G.-M. Greuel; T.H. Pham Mather–Yau theorem in positive characteristic, J. Algebraic Geom., Volume 26 (2017) no. 2, pp. 347-355

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[7] B. Keller Singular Hochschild cohomology via the singularity category | arXiv

[8] B. Keller Singular Hochschild cohomology via the singularity category, C. R. Acad. Sci. Paris, Ser. I, Volume 356 (2018) no. 11, pp. 1106-1111

[9] J.N. Mather; S.S.T. Yau Classification of isolated hypersurface singularities by their moduli algebras, Invent. Math., Volume 69 (1982) no. 2, pp. 243-251

[10] D.O. Orlov Triangulated categories of singularities and D-branes in Landau–Ginzburg models, Tr. Mat. Inst. Steklova, Volume 246 (2004), pp. 240-262 (issue “Algebraic geometry: Methods, relations, and applications”)

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