Compact K\"ahler threefolds with non-nef canonical bundle and symplectic geometry

TL;DR

This paper proves that the property of the canonical bundle being nef in compact K"ahler threefolds remains unchanged under deformed symplectic diffeomorphisms, linking complex geometry and symplectic topology.

Contribution

It establishes the invariance of the nefness of the canonical bundle under deformed symplectic diffeomorphisms for compact K"ahler threefolds, a novel connection between these geometric structures.

Findings

Nefness of the canonical bundle is invariant under deformed symplectic diffeomorphisms.

Provides new insights into the relationship between K"ahler geometry and symplectic topology.

Advances understanding of the stability of geometric properties under symplectic deformations.

Abstract

We show that the nefness of the canonical bundle of compact K\"ahler threefolds is invariant under deformed symplectic diffeomorphisms.