论文标题
PL-Spheres的Lefschetz弱属性
Weak Lefschetz property of PL-spheres
论文作者
论文摘要
Papadakis-Petrotou的最新结果表明，每个简单领域的特征性$ 2 $都具有弱的Lefschetz物业。在本文中，我们通过证明Bistellar Moves保留了特征性$ 2 $的弱Lefschetz属性，从而为PL-Spheres提供了更简单的证明。给出了几个申请。
A recent result of Papadakis-Petrotou shows that every simplicial sphere has the weak Lefschetz property in characteristic $2$. In this paper, we give a simpler proof of this result for PL-spheres by showing that the weak Lefschetz property in characteristic $2$ is preserved by bistellar moves. Several applications are given.
