Embeddings of algebras in derived categories of surfaces
arXiv:1501.04197 · doi:10.1090/proc/13497
Abstract
By a result of Orlov there always exists an embedding of the derived category of a finite-dimensional algebra of finite global dimension into the derived category of a high-dimensional smooth projective variety. In this article we give some restrictions on those algebras whose derived categories can be embedded into the bounded derived category of a smooth projective surface. This is then applied to obtain explicit results for hereditary algebras.
13 pages; revised version