Recollements and tilting objects
نویسندگان
چکیده
منابع مشابه
Hochschild Dimension of Tilting Objects
We give a new upper bound for the generation time of a tilting object and use it to verify, in some new cases, a conjecture of Orlov on the dimension of the derived category of coherent sheaves on a smooth variety.
متن کاملMutation of Cluster-tilting Objects and Potentials
We prove that mutation of cluster-tilting objects in triangulated 2-Calabi-Yau categories is closely connected with mutation of quivers with potentials. This gives a close connection between 2-CY-tilted algebras and Jacobian algebras associated with quivers with potentials. We show that cluster-tilted algebras are Jacobian and also that they are determined by their quivers. There are similar re...
متن کاملMutation of Cluster-tilting Objects and Potentials
We prove that mutation of cluster-tilting objects in triangulated 2-Calabi-Yau categories is closely connected with mutation of quivers with potentials. This gives a close connection between 2-CY-tilted algebras and Jacobian algebras associated with quivers with potentials. We show that cluster-tilted algebras are Jacobian and also that they are determined by their quivers. There are similar re...
متن کاملRecollements and Singularity Categories
This is a report on my ongoing joint work with Martin Kalck. The recollement generated by a projective module is described. Application to singularity categories is discussed.
متن کاملHighest Weight Categories and Recollements
We provide several equivalent descriptions of a highest weight category using recollements of abelian categories. Also, we explain the connection between sequences of standard and exceptional objects.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2011
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2010.04.027