论文标题

从免费安排到投影维度的类别的添加和限制定理的概括

Generalization of the addition and restriction theorems from free arrangements to the class of projective dimension one

论文作者

Abe, Takuro

论文摘要

我们研究了Terao著名的添加定理的广义版本,以免费安排投影尺寸的人的类别。也就是说,当删除和限制且条件温和时,我们给出一个标准来确定添加的对数衍生模块的代数结构。另外,我们介绍了一类分区抢救的安排,它们的斑点仅取决于Terao关于FreeNess组合的著名猜想,例如FreeNess的著名猜想。

We study a generalized version of Terao's famous addition theorem for free arrangements to the category of those with projective dimension one. Namely, we give a criterion to determine the algebraic structure of logarithmic derivation modules of the addition when the deletion and restrictions are free with a mild condition. Also, we introduce a class of divisionally SPOG arrangements whose SPOGness depends only on the intersection lattice like Terao's famous conjecture on combinatoriality of freeness.

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