Abstract
We show that there exists a cubic threefold defined by an invertible polynomial that, when quotiented by the maximal diagonal symmetry group, has a derived category that does not have a full exceptional collection consisting of line bundles. This provides a counterexample to a conjecture of Lekili and Ueda.
| Original language | English (US) |
|---|---|
| Article number | e56 |
| Journal | Forum of Mathematics, Sigma |
| Volume | 8 |
| DOIs | |
| State | Published - Nov 16 2020 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© The Author(s), 2020.
Keywords
- derived categories
- exceptional collections
- tilting object
Fingerprint
Dive into the research topics of 'A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS