# Positive neighborhoods of curves

## TL;DR

This paper investigates neighborhoods of curves with positive self-intersection on surfaces, focusing on those embeddable as germs of neighborhoods of curves on the projective plane.

## Contribution

It characterizes the neighborhoods of such curves and explores their embedding properties in the projective plane context.

## Key findings

- Identification of conditions for embeddability as germs
- Characterization of neighborhoods with positive self-intersection
- Insights into embedding properties in projective surfaces

## Abstract

In this work we study neighborhoods of curves in surfaces with positive self-intersection that can be embeeded as a germ of neighborhood of a curve on the projective plane.