平面曲线束与特征 variety
代数几何
2007-05-23 v3 代数拓扑
摘要
我们给出了一种几何方法来研究平面曲线排列补上局部系统的特征 variety 的不可约分支与最近由 M. Falk 和 S. Yuzvinsky 在直线排列情形发现的相应平面曲线束之间的关系（见 mathAG/0603166）。在此情形，这一几何观点已由 A. Libgober 和 S. Yuzvinsky 暗示过。我们的研究给出了关于特征 variety 的平移分支的新几何见解，将其与相应曲线束中曲线的重数相关联，与 A. Beauville 所处理的紧情形密切类似。
关键词
引用
@article{arxiv.math/0606442,
title = {Pencils of plane curves and characteristic varieties},
author = {A. Dimca},
journal= {arXiv preprint arXiv:math/0606442},
year = {2007}
}
备注
New results: First Prop. 3.18, Cor. 3.21 and Prop. 6.7 saying that all the possible translates actually do occur as components. Next Cor. 6.8 and Example 6.11 showing that the various translates are irreducible components of various characteristic varieties $\V_m(M)$. We have added a key reference to Beauville's related work and have discarded the claims about combinatorial determinacy, since they were not fully proved