Delta invariants of smooth cubic surfaces

TL;DR

This paper establishes a lower bound of 6/5 for the delta invariants of smooth cubic surfaces, contributing to the understanding of their geometric stability properties.

Contribution

It provides the first proven lower bound for delta invariants specifically for smooth cubic surfaces.

Findings

Delta invariants of smooth cubic surfaces are at least 6/5

The result advances knowledge on stability criteria for cubic surfaces

Supports further research on geometric invariant theory of cubic surfaces

Abstract

We prove that $\delta$-invariants of smooth cubic surfaces are at least $\frac{6}{5}$.