A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles

David Favero; Daniel Kaplan; Tyler Kelly

doi:10.1017/fms.2020.44

A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles

David Favero, Daniel Kaplan, Tyler Kelly

Mathematics

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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 which 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
Pages (from-to)	1-8
Journal	Forum of Mathematics, Sigma
Volume	8
Issue number	e56
DOIs	https://doi.org/10.1017/fms.2020.44
Publication status	Published - 16 Nov 2020

Keywords

derived categories
exceptional collections
tilting object

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A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles

Abstract

Keywords

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