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math.AG2020
A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles
David Favero, Daniel Kaplan, Tyler L. Kelly
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…
math.AG2020
Exceptional Collections for Mirrors of Invertible Polynomials
David Favero, Daniel Kaplan, Tyler L. Kelly
We prove the existence of a full exceptional collection for the derived category of equivariant matrix factorizations of an invertible polynomial with its maximal symmetry group. T…