Multiplicites and modifications, and singularities associated to blowing down negative vector bundles
Complex Variables
2024-09-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2409.09407,
title = {Multiplicites and modifications, and singularities associated to blowing down negative vector bundles},
author = {Fusheng Deng and Yinji Li and Qunhuan Liu and Xiangyu Zhou},
journal= {arXiv preprint arXiv:2409.09407},
year = {2024}
}
Comments
27 pages. Comments welcomes!