论文标题

关于孤立奇异性特征的备注

Remarks on eigenspectra of isolated singularities

论文作者

Castor, Ben, Deng, Haohua, Kerr, Matt, Pearlstein, Gregory

论文摘要

我们引入了一个简单的微积分,扩展了steenbrink谱的变体,用于描述具有(相对)自动形态的(相对)孤立奇异性的(平滑)的Hodge理论不变性。在计算出准同质案例中这些“特征百叶窗”之后,我们为VHS的奇异性边界和单片提供了三个应用。

We introduce a simple calculus, extending a variant of the Steenbrink spectrum, for describing Hodge-theoretic invariants of (smoothings of) isolated singularities with (relative) automorphisms. After computing these "eigenspectra" in the quasi-homogeneous case, we give three applications to singularity bounding and monodromy of VHS.

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