A phantom on a rational surface
成果类型：
Article
署名作者：
Krah, Johannes
署名单位：
University of Bielefeld
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-023-01234-0
发表日期：
2024
页码：
1009-1018
关键词：
摘要：
We construct a non-full exceptional collection of maximal length consisting of line bundles on the blow-up of the projective plane in 10 general points. As a consequence, the orthogonal complement of this collection is a universal phantom category. This provides a counterexample to a conjecture of Kuznetsov and to a conjecture of Orlov.
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