Geodesic
Homological algebra/Algebraic geometry
Upper bounds for dimensions of singularity categories
[Bornes supérieures pour les dimensions des catégories de singularités]

Présenté par : Claire Voisin

Dao, Hailong1 ; Takahashi, Ryo2, 3
1 Department of Mathematics, University of Kansas, Lawrence, KS 66045-7523, USA
2 Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya 464-8602, Japan
3 Department of Mathematics, University of Nebraska, Lincoln, NE 68588-0130, USA
Comptes Rendus. Mathématique, Tome 353 (2015) no. 4, pp. 297-301.

Voir la notice de l'article provenant de la source Numdam

This paper gives upper bounds for the dimension of the singularity category of a Cohen–Macaulay local ring with an isolated singularity. One of them recovers an upper bound given by Ballard, Favero and Katzarkov in the case of a hypersurface.

Cet article donne des bornes supérieures pour la dimension de la catégorie de singularité d'un anneau local Cohen–Macaulay à singularité isolée. L'une de nos estimations redonne une borne fournie par Ballard, Favero et Katzarkov dans le cas des hypersurfaces.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.01.012

Dao, Hailong 1 ; Takahashi, Ryo 2, 3

1 Department of Mathematics, University of Kansas, Lawrence, KS 66045-7523, USA
2 Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya 464-8602, Japan
3 Department of Mathematics, University of Nebraska, Lincoln, NE 68588-0130, USA 
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Dao, Hailong; Takahashi, Ryo. Upper bounds for dimensions of singularity categories. Comptes Rendus. Mathématique, Tome 353 (2015) no. 4, pp. 297-301. doi : 10.1016/j.crma.2015.01.012. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2015.01.012/

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