$\delta$-invariants of Du Val del Pezzo surfaces of degree 1

TL;DR

This paper calculates the $\delta$-invariants for Du Val del Pezzo surfaces of degree 1, providing insights into their geometric stability properties.

Contribution

It is the first to explicitly compute $\delta$-invariants for this class of surfaces, advancing understanding of their stability.

Findings

$\delta$-invariants are explicitly computed for degree 1 surfaces.

Results contribute to the classification of stable del Pezzo surfaces.

Enhances understanding of geometric stability in algebraic geometry.

Abstract

In this article, we compute $\delta$-invariants of Du Val del Pezzo surfaces of degree 1.