On the structure of Calabi-Yau categories with a cluster tilting subcategory
Gonçalo TabuadaUniversité Paris 7 - Denis Diderot UMR 7586 du CNRS, case 7012 2 Place Jussieu 75251 Paris cedex 05 France
We prove that for , an algebraic -Calabi-Yau triangulated category endowed with a -cluster tilting subcategory is the stable category of a DG category which is perfectly -Calabi-Yau and carries a non degenerate -structure whose heart has enough projectives.
Cite this article
Gonçalo Tabuada, On the structure of Calabi-Yau categories with a cluster tilting subcategory. Doc. Math. 12 (2007), pp. 193–213DOI 10.4171/DM/223