arXiv Open Access 2024

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

Yuta Watanabe

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Abstrak

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-positivity notions induce $0$-th cohomology vanishing, rational conected-ness, etc. Here, $ω$-trace positivity of smooth Hermitian metrics $h$ on holomorphic vector bundles $E$ represents the positivity of $tr_ωiΘ_{E,h}$.

Topik & Kata Kunci

math.DG math.CV

Penulis (1)

Yuta Watanabe

Format Sitasi

APA MLA BibTeX

Watanabe, Y. (2024). $ω$-trace and Griffiths positivity for singular Hermitian metrics. https://arxiv.org/abs/2402.06658

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓