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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
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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.
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