中文

多项式映射非真性集合的定量性质:正特征情形

代数几何 2021-04-06 v1

摘要

f:KnKmf:\mathbb{K}^n\rightarrow\mathbb{K}^m为仿射空间之间次数为dd的泛有限多项式映射。在arXiv:1411.5011中我们证明了若K\mathbb{K}为复数或实数域,则ff在其上非真的点集SfS_f被次数至多为d1d-1的多项式曲线所覆盖。本文将此结果推广到正特征情形。我们给出由dd界定的上界的几何证明。

关键词

引用

@article{arxiv.1906.06160,
  title  = {Quantitative properties of the non-properness set of a polynomial map, a positive characteristic case},
  author = {Zbigniew Jelonek and Michał Lasoń},
  journal= {arXiv preprint arXiv:1906.06160},
  year   = {2021}
}

备注

arXiv admin note: text overlap with arXiv:1501.00223