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On the structure of Calabi-Yau categories with a cluster tilting subcategory

Goncalo Tabuada
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Abstract

We prove that for $d \geq 2$, 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.

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BibTeXRIS

Goncalo Tabuada. 2006-07-17. On the structure of Calabi-Yau categories with a cluster tilting subcategory. https://arxiv.org/abs/math/0607394

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