论文标题
Hilbert系列超平面布置的理想
The Hilbert series of Hodge ideals of hyperplane arrangements
论文作者
论文摘要
鉴于在平滑品种上的有效除数降低降低，我们描述了X在X上的Grothendieck组合中的hodge理想的生成功能，该类别是X上X上的相干绵羊的生成函数。
Given a reduced effective divisor D on a smooth variety X, we describe the generating function for the classes of the Hodge ideals of D in the Grothendieck group of coherent sheaves on X in terms of the motivic Chern class of the complement of the support of D. As an application, we compute the generating function for the Hilbert series of Hodge ideals of a hyperplane arrangement in terms of the Poincare polynomial of the arrangement.
