Yuta Watanabe

collaborators

2 papers

math.DG2024

$ω$ -trace and Griffiths positivity for singular Hermitian metrics

Yuta Watanabe

In this paper, we investigate various positivity for singular Hermitian metrics such as Griffiths, $ω$ -trace and RC, where $ω$ is a Hermitian metric, and show that these quasi-posi…

math.AG2024

On the direct image of the adjoint big and nef line bundles

Yuta Watanabe, Yongpan Zou

We investigate the positivity properties of the direct image $f_{*} (K_{X / Y} \otimes L)$ of the adjoint line bundle associated with a big and nef line bundle $L$ , under a smooth…

ω-trace and Griffiths positivity for singular Hermitian metrics

On the direct image of the adjoint big and nef line bundles

$ω$ -trace and Griffiths positivity for singular Hermitian metrics