An inequality for adjoint rational surfaces

TL;DR

This paper extends a known inequality from convex lattice polygons, which correspond to toric surfaces, to a broader class of rational surfaces, enhancing the understanding of their geometric properties.

Contribution

The paper introduces a generalized inequality applicable to all rational surfaces, expanding the scope beyond toric surfaces.

Findings

Established a new inequality for rational surfaces

Extended convex lattice polygon inequality to rational surfaces

Provided theoretical framework for further geometric analysis

Abstract

We generalize an inequality for convex lattice polygons -- aka toric surfaces -- to general rational surfaces.