Koll\'ar's injectivity theorem for globally $F$-regular varieties

TL;DR

This paper extends Kollár's injectivity theorem to the setting of globally $F$-regular varieties, broadening its applicability in algebraic geometry.

Contribution

It provides a proof of Kollár's injectivity theorem specifically for globally $F$-regular varieties, a class of varieties in positive characteristic.

Findings

Established Kollár's injectivity theorem for globally $F$-regular varieties

Enhanced understanding of the cohomological properties of these varieties

Potential applications in the classification of algebraic varieties

Abstract

We prove Koll\'ar's injectivity theorem for globally $F$-regular varieties.