乘法和修正，以及与吹落负向量束相关的奇点

arXiv - MATH - Complex Variables Pub Date : 2024-09-14 DOI:arxiv-2409.09407

Fusheng Deng, Yinji Li, Qunhuan Liu, Xiangyu Zhou

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引用次数: 0

摘要

我们首先将 \mathbb{C} 上解析局部环的混合希尔伯特-萨缪尔乘数表述为广义勒隆数，并进一步将其表述为修正背景下的交集数。作为应用，我们给出了由负全态外矢量束的格劳尔特吹缩给出的孤立星形乘数的估计值或精确公式。

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Multiplicites and modifications, and singularities associated to blowing down negative vector bundles

We first present the mixed Hilbert-Samuel multiplicities of analytic local rings over \mathbb{C} as generalized Lelong numbers and further represent them as intersection numbers in the context of modifications. As applications, we give estimates or an exact formula for the multiplicities of isolated singularities that given by the Grauert blow-downs of negative holomorphic vector bundles.

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arXiv - MATH - Complex Variables

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