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.

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.

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.

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://www.numdam.org/articles/10.1016/j.crma.2015.01.012/

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