Comptes Rendus
no. 5
Homological algebra/Algebraic geometry
Algebraic K-theory with coefficients of cyclic quotient singularities

Presented by: Michel Duflo

Gonçalo Tabuada1, 2, 3
1 Department of Mathematics, MIT, Cambridge, MA 02139, USA
2 Departamento de Matemática, FCT, UNL, Portugal
3 Centro de Matemática e Aplicações (CMA), FCT, UNL, Portugal
Comptes Rendus. Mathématique, Volume 354 (2016) no. 5, pp. 449-452.

In this note, by combining the work of Amiot–Iyama–Reiten and Thanhoffer de Völcsey–Van den Bergh on Cohen–Macaulay modules with the previous work of the author on orbit categories, we compute the algebraic K-theory with coefficients of cyclic quotient singularities.

Dans cette note, en combinant les travaux de Amiot–Iyama–Reiten et Thanhoffer de Völcsey–Van den Bergh sur les modules Cohen–Macaulay avec le travail précédent de l'auteur sur les catégories d'orbites, nous calculons la K-théorie algébrique avec coefficients des singularités quotient cycliques.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.01.017

Gonçalo Tabuada 1, 2, 3

1 Department of Mathematics, MIT, Cambridge, MA 02139, USA
2 Departamento de Matemática, FCT, UNL, Portugal
3 Centro de Matemática e Aplicações (CMA), FCT, UNL, Portugal 
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Gonçalo Tabuada. Algebraic K-theory with coefficients of cyclic quotient singularities. Comptes Rendus. Mathématique, Volume 354 (2016) no. 5, pp. 449-452. doi : 10.1016/j.crma.2016.01.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.01.017/

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[8] G. Tabuada A1-homotopy invariance of algebraic K-theory with coefficients and Kleinian singularities, 2016 (Annals of K-theory, in press) | arXiv

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