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Embeddings of algebras in derived categories of surfaces


Authors: Pieter Belmans and Theo Raedschelders
Journal: Proc. Amer. Math. Soc. 145 (2017), 2757-2770
MSC (2010): Primary 14F05, 16E35; Secondary 18E30
DOI: https://doi.org/10.1090/proc/13497
Published electronically: February 24, 2017
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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.


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Additional Information

Pieter Belmans
Affiliation: Department of Mathematics and Computer Science, Universiteit Antwerpen, Middelheimlaan 1, 2020 Antwerpen, Belgium

Theo Raedschelders
Affiliation: Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Elsene, Belgium

DOI: https://doi.org/10.1090/proc/13497
Received by editor(s): August 5, 2015
Received by editor(s) in revised form: May 30, 2016, and June 30, 2016
Published electronically: February 24, 2017
Communicated by: Lev Borisov
Article copyright: © Copyright 2017 American Mathematical Society