论文标题

最大程度的可逆立方三倍,不承认完整的线条束集合

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

论文作者

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

论文摘要

我们表明,存在一个由可逆多项式定义的立方三倍,当由最大对角线对称群体定制时,它具有一个派生的类别,该类别没有由线包组成的完整特殊集合。这为Lekili和Ueda的猜想提供了反例。

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.

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