Abstract

AbstractWe prove that ifXis a regular quasi-projective variety of dimensiond, the set of line bundles{𝒪X⁢(n)}n∈ℤ{\{\mathcal{O}_{X}(n)\}_{n\in{\mathbb{Z}}}}generates the bounded derived category ofXindsteps. This proves new cases of a conjecture of Orlov as well as a conjecture of Elagin and Lunts.

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