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arXiv · 0801.2599

Derived categories of sheaves on singular schemes with an application to reconstruction

Matthew Robert Ballard
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Abstract

We prove that the bounded derived category of coherent sheaves with proper support is equivalent to the category of locally-finite, cohomological functors on the perfect derived category of a quasi-projective scheme over a field. We introduce the notions of pseudo-adjoints and Rouquier functors and study them. As an application of these ideas and results, we extend the reconstruction result of Bondal and Orlov to Gorenstein projective varieties.

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Matthew Robert Ballard. 2011-05-17. Derived categories of sheaves on singular schemes with an application to reconstruction. https://arxiv.org/abs/0801.2599

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