Helices on del Pezzo surfaces and tilting Calabi-Yau algebras
By T. Bridgeland, David Stern. 2009
54 citations recorded by the source corpus.
We study tilting for a class of Calabi–Yau algebras associated to helices on Fano varieties. We do this by relating the tilting operation to mutations of exceptional collections. For helices on del Pezzo surfaces the algebras are of dimension three, and using an argument of Herzog, together with results of Kuleshov and Orlov, we obtain a complete description of the tilting process in terms of quiver mutations.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/863ac19498e0e34be70fad5e85bf6cfdee67c86e
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In Algebra and Number Theory
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Flops and clusters in the homological minimal model programme (2014, background): “18 above is not in general a vertex tilt in the sense of Bridgeland–Stern [6], and in full generality there is no simple combinatorial description of the decomposition ofUI or VI .”
- Representations of Algebras and Related Topics (2011, unknown): “also [9] [11].”