Positivity properties of the bundle of logarithmic tensors on compact K\"ahler manifolds

TL;DR

This paper investigates the positivity characteristics of the bundle of logarithmic tensors on compact Kähler manifolds, focusing on their numerical properties and implications for complex geometry.

Contribution

It introduces new insights into the positivity of logarithmic tensor bundles and explores their numerical properties on compact Kähler manifolds.

Findings

Established criteria for positivity of logarithmic tensor bundles

Derived numerical invariants related to these bundles

Connected positivity properties to geometric features of Kähler manifolds

Abstract

In this paper we study numerical properties of quotients of holomorphic log-tensors.