# Toric log del Pezzo surfaces with one singularity

## TL;DR

This paper classifies all toric log Del Pezzo surfaces with a single singularity and describes their embeddings into projective spaces as intersections of quadrics.

## Contribution

It provides a complete classification of these surfaces and details their explicit embeddings, advancing understanding of their geometric structure.

## Key findings

- Classification of all such surfaces achieved
- Explicit descriptions of embeddings into projective spaces
- Identification of the intersection of quadrics as embeddings

## Abstract

This paper focuses on the classification of all toric log Del Pezzo surfaces with exactly one singularity up to isomorphism, and on the description of how they are embedded as intersections of finitely many quadrics into suitable projective spaces.