A phantom on a rational surface

Krah J (2023)
Inventiones mathematicae.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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DOI
URN
urn:nbn:de:0070-pub-29855083
Autor*in
Krah, JohannesUniBi
Einrichtung
Fakultät für Mathematik
Abstract / Bemerkung
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.
Erscheinungsjahr
2023
Zeitschriftentitel
Inventiones mathematicae
Urheberrecht / Lizenzen
Creative Commons Namensnennung 4.0 International Public License (CC-BY 4.0)
ISSN
0020-9910
eISSN
1432-1297
Page URI
https://pub.uni-bielefeld.de/record/2985508

Zitieren

Krah J. A phantom on a rational surface. Inventiones mathematicae. 2023.
Krah, J. (2023). A phantom on a rational surface. Inventiones mathematicae. https://doi.org/10.1007/s00222-023-01234-0
Krah, Johannes. 2023. “A phantom on a rational surface”. Inventiones mathematicae.
Krah, J. (2023). A phantom on a rational surface. Inventiones mathematicae.
Krah, J., 2023. A phantom on a rational surface. Inventiones mathematicae.
J. Krah, “A phantom on a rational surface”, Inventiones mathematicae, 2023.
Krah, J.: A phantom on a rational surface. Inventiones mathematicae. (2023).
Krah, Johannes. “A phantom on a rational surface”. Inventiones mathematicae (2023).
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2023-12-21T12:22:22Z
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https://link.springer.com/content/pdf/10.1007/s00222-023-01234-0.pdf
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