通过纽结理论看平面曲线的谱
几何拓扑
2014-02-26 v2 代数几何
摘要
我们利用拓扑方法研究平面代数曲线奇点谱以及二元多项式在无穷远处谱的各种半连续性性质。利用Seifert形式和链环的Tristram-Levine符号差，我们重新证明了（在稍弱版本中）Steenbrink和Varchenko关于无穷远处谱半连续性的结果。我们还将一个多项式的无穷远处谱与选定纤维的奇点谱联系起来。
引用
@article{arxiv.1101.5471,
title = {Spectrum of plane curves via knot theory},
author = {Maciej Borodzik and Andras Nemethi},
journal= {arXiv preprint arXiv:1101.5471},
year = {2014}
}
备注
22 pages. Corrected the shape of brackets in the formula for signature in Proposition 2.4.2 (a mistake coming from arXiv:1005.2084). A few other statements on page 6 slightly changed, otherwise no changes needed