# Log canonical degenerations of del Pezzo surfaces in Q-Gorenstein families

## TL;DR

This paper classifies certain del Pezzo surfaces with specific singularities that can be smoothed within Q-Gorenstein families, advancing understanding of their degenerations.

## Contribution

It provides a classification of log canonical del Pezzo surfaces with Picard number one that admit Q-Gorenstein smoothings, a new result in surface degenerations.

## Key findings

- Classification of log canonical del Pezzo surfaces with Picard number one.
- Identification of conditions for Q-Gorenstein smoothability.
- Enhanced understanding of surface degenerations in algebraic geometry.

## Abstract

We classify del Pezzo surfaces of Picard number one with log canonical singularities admitting Q-Gorenstein smoothings.