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Pseudo-effective and Numerically Flat Reflexive Sheaves by Wu, Xiaojun is a scholarly article available to read on EtoBox.

What is Pseudo-effective and Numerically Flat Reflexive Sheaves about?

In this note, we discuss the concept of pseudoeffective vector bundle and also introduce pseudoeffective torsion-free sheaves over compact K\"ahler manifolds. We show that a pseudoeffective reflexive sheaf over a compact K\"ahler 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.

Author

Wu, Xiaojun

Published

2020

Language

EN