On relative rational chain connectedness of threefolds with anti-big canonical divisors in positive characteristics

TL;DR

This paper investigates the rational chain connectedness of certain three-dimensional algebraic varieties with anti-big canonical divisors in positive characteristic, providing new insights into their geometric structure.

Contribution

It establishes two new results on the rational chain connectedness of klt threefolds with anti-big canonical divisors in the relative setting, advancing understanding in positive characteristic geometry.

Findings

Proves rational chain connectedness for specific threefolds in positive characteristic.

Provides conditions under which klt threefolds are rationally chain connected.

Enhances the theory of algebraic varieties with anti-big canonical divisors.

Abstract

In this paper we prove two results about the rational chain connectedness for klt threefolds with anti-big canonical divisors in the relative setting.