论文标题
麦克弗森通过Hörmander估计的猜想
MacPherson's Conjecture via Hörmander Estimate
论文作者
论文摘要
在此笔记中，我们通过Demailly对Hörmander的估计，对Macpherson的猜想对$ l^2-（n，q）$ - 同谋。这种方法使我们能够在Ruppenthal的$ l^2 $ - 伴随捆绑包中削弱本地半积极性的状况。此外，我们证明了Macpherson在任意的单一遗传学指标下的扭曲系数束的猜想。作为应用程序，我们研究了MacPherson类型的问题，用于pluri-canonical捆绑包。
In this notes we reprove MacPherson's conjecture on $L^2-(n,q)$-cohomology through Demailly's formulation of Hörmander's Estimate. This approach allows us to weaken the condition of locally semipositivity in Ruppenthal's $L^2$-representation of adjoint bundle. Moreover we prove the MacPherson's conjecture of twisted coefficient bundle under an arbitrary singular hermitian metric. As applications, we study the MacPherson type problem for pluri-canonical bundle.
