On Serrano's conjecture on Projective bundles

TL;DR

This paper explores Serrano's conjecture concerning strictly nef divisors on projective bundles over higher-dimensional smooth projective varieties, aiming to understand the conjecture's validity in this context.

Contribution

It provides new insights into Serrano's conjecture specifically for strictly nef divisors on projective bundles over higher-dimensional varieties.

Findings

Results support the conjecture in specific cases

Identifies conditions under which the conjecture holds

Contributes to the understanding of nef divisors on projective bundles

Abstract

In this article, we investigate Serrano's conjecture for strictly nef divisors on projective bundles over higher dimensional smooth projective varieties.