接触轨迹与 Hironaka 阶
代数几何
2021-08-19 v3
摘要
我们研究了弧的接触轨迹集合，以及 Hironaka 在奇点消解构造中定义的阶函数的性质。我们证明，该函数可由代数簇奇点处接触轨迹集合的不可约分量读出。
引用
@article{arxiv.1811.12203,
title = {Contact loci and Hironaka's order},
author = {A. Bravo and S. Encinas and B. Pascual-Escudero},
journal= {arXiv preprint arXiv:1811.12203},
year = {2021}
}
备注
Sections 1 and 5 have been reorganized. Consequence of Theorem 7.1 restricted to complex case. To appear in Manuscripta Math. arXiv admin note: text overlap with arXiv:1802.02566