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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/18627

Title: Homological properties of a certain noncommutative Del Pezzo surface
Authors: DE THANHOFFER DE VOLCSEY, Louis
PRESOTTO, Dennis
Issue Date: 2015
Abstract: Recently, de Thanhoffer de Volcsey and Van den Bergh showed that Grothendieck groups of "noncommutative Del Pezzo surfaces" with an exceptional sequence of length 4 are isomorphic to one of three types, the third one not coming from a commutative Del Pezzo surface. In this paper, we adapt the theory of noncommutative P1-bundles as appearing in the work of Van den Bergh and Nyman to produce a sheaf Z-algebra whose associated Proj has an exceptional sequence of length 4 for which the Gram matrix is of this third type. We show that this noncommutative scheme is noetherian and describe its local structure through the use of our generalized preprojective algebras.
URI: http://hdl.handle.net/1942/18627
Link to publication: http://arxiv.org/abs/1503.03992
Category: O
Type: Preprint
Appears in Collections: Research publications

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