Remarks on generators and dimensions of triangulated categories
Dmitri Orlov

TL;DR
This paper establishes that the dimension of the bounded derived category of coherent sheaves on a smooth quasi-projective curve is exactly one and explores the spectrum of these dimensions.
Contribution
It proves a precise dimension value for derived categories on curves and discusses their dimension spectrums, advancing understanding of their structure.
Findings
Dimension of derived category on curves is exactly one.
Discusses the spectrum of dimensions in these categories.
Abstract
In this paper we prove that the dimension of the bounded derived category of coherent sheaves on a smooth quasi-projective curve is equal to one. We also discuss dimension spectrums of these categories.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
