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

David Favero; Daniel Kaplan; Tyler L. 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 L. Kelly

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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	https://doi.org/10.1017/fms.2020.44
State	Published - Nov 16 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© The Author(s), 2020.

Keywords

derived categories
exceptional collections
tilting object

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10.1017/fms.2020.44

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

Abstract

Bibliographical note

Keywords

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