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arXiv · 1501.04197

Embeddings of algebras in derived categories of surfaces

Pieter Belmans·Theo Raedschelders
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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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Pieter Belmans, Theo Raedschelders. 2015-01-17. Embeddings of algebras in derived categories of surfaces. https://doi.org/10.1090/proc%2F13497

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