Geodesic
On the structure of Calabi-Yau categories with a cluster tilting subcategory
Documenta mathematica, Tome 12 (2007), pp. 193-213
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We prove that for d≥2, an algebraic d-Calabi-Yau triangulated category endowed with a d-cluster tilting subcategory is the stable category of a DG category which is perfectly (d+1)-Calabi-Yau and carries a non degenerate t-structure whose heart has enough projectives.
DOI : 10.4171/dm/223
Classification : 16G30, 16G70, 18D20, 18E35
Mots-clés : triangulated category, Calabi-Yau property, t-structure, DG category, verdier's quotient, Brown representability theorem 
@article{10_4171_dm_223,
     author = {Gon\c{c}alo Tabuada},
     title = {On the structure of {Calabi-Yau} categories with a cluster tilting subcategory},
     journal = {Documenta mathematica},
     pages = {193--213},
     year = {2007},
     volume = {12},
     doi = {10.4171/dm/223},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/223/}
}
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Gonçalo Tabuada. On the structure of Calabi-Yau categories with a cluster tilting subcategory. Documenta mathematica, Tome 12 (2007), pp. 193-213. doi: 10.4171/dm/223

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