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| TITLE | A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles |
|---|---|
| KIAS AUTHORS | Favero, David |
| JOURNAL | FORUM OF MATHEMATICS SIGMA, 2020 |
| ARCHIVE | |
| 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. |
