Ample line bundles and generation time

Open Access
Authors
Publication date 01-07-2023
Journal Journal fur die Reine und Angewandte Mathematik
Volume | Issue number 2023 | 800
Pages (from-to) 299-304
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We prove that if X is a regular quasi-projective variety of dimension d, the set of line bundles {OX (n)} n∈Z generates the bounded derived category of X in d steps. This proves new cases of a conjecture of Orlov as well as a conjecture of Elagin and Lunts.
Document type Article
Note Publisher Copyright: © 2023 Walter de Gruyter GmbH, Berlin/Boston.
Language English
Published at https://doi.org/10.1515/crelle-2023-0036
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