论文标题
伪有效且数值平坦的反身滑轮
Pseudo-effective and numerically flat reflexive sheaves
论文作者
论文摘要
在本说明中，我们讨论了伪赋形矢量束的概念，并在紧凑的kähler歧管上引入了伪屈服的无扭转绳。我们表明，在紧凑的kähler歧管上，伪造反射式捆着实际上是一个数值平坦的矢量束。通过代表Segre类别的伪为矢量束的正电流的自然结构来获得证明。
In this note, we discuss the concept of pseudoeffective vector bundle and also introduce pseudoeffective torsion-free sheaves over compact Kähler manifolds. We show that a pseudoeffective reflexive sheaf over a compact Kähler manifold with vanishing first Chern class is in fact a numerically flat vector bundle. A proof is obtained through a natural construction of positive currents representing the Segre classes of pseudoeffective vector bundles.
