论文标题
矩阵的盘子环的半小all分解
A semi-small decomposition of the Chow ring of a matroid
论文作者
论文摘要
我们给出了MatroidM的ChOW环的半级正交分解。分解用于给出简单的Poincaré二元性证明，硬Lefschetz Theorem和Hodge-Riemann关系的Chow环，以恢复[AHK18]的主要结果。我们还表明，类似的半小正交分解适用于M的增强盘环。
We give a semi-small orthogonal decomposition of the Chow ring of a matroid M. The decomposition is used to give simple proofs of Poincaré duality, the hard Lefschetz theorem, and the Hodge-Riemann relations for the Chow ring, recovering the main result of [AHK18]. We also show that a similar semi-small orthogonal decomposition holds for the augmented Chow ring of M.
