PL-球的弱 Lefschetz 性质
组合数学
2021-09-28 v8 交换代数
代数几何
几何拓扑
摘要
Papadakis-Petrotou 近期的结果表明，每个单纯球在特征 下均具有弱 Lefschetz 性质。本文通过证明特征 下的弱 Lefschetz 性质在 bistellar 变换下保持不变，为 PL-球的该结果给出了更简单的证明。并给出了若干应用。
引用
@article{arxiv.2001.06594,
title = {Weak Lefschetz property of PL-spheres},
author = {Feifei Fan},
journal= {arXiv preprint arXiv:2001.06594},
year = {2021}
}
备注
14 pages; In version 7, there is a wrong computation at the end of the proof of Theorem 3.2, but this mistake can be fixed by assuming the field has characteristic 2. So the abstract and the statement of the main theorem are changed in this version