A Kawamata-Viehweg type formulation of the Logarithmic Akizuki-Nakano Vanishing Theorem

TL;DR

This paper presents a formulation of the logarithmic Akizuki-Nakano Vanishing Theorem inspired by Kawamata-Viehweg, providing a potentially known but undocumented result in the literature.

Contribution

It introduces a Kawamata-Viehweg type formulation of the logarithmic Akizuki-Nakano Vanishing Theorem, filling a gap in existing mathematical literature.

Findings

Formulation of a Kawamata-Viehweg type version of the theorem

Clarification of the theorem's status in existing literature

Largely expository presentation of the result

Abstract

In this largely expository article, we present a Kawamata-Viehweg type formulation of the (logarithmic) Akizuki-Nakano Vanishing Theorem. While the result is likely known to the experts, it does not seem to appear in the existing literature.