# Geometric Models of Helium

## TL;DR

This paper develops geometric models for Helium isotopes using complex algebraic surfaces, extending previous atomic models to include Helium-3 and Helium-4.

## Contribution

It introduces new geometric models for Helium-3 and Helium-4 based on complex algebraic surfaces, expanding the framework for atomic modeling.

## Key findings

- Helium isotopes are modeled by specific complex algebraic surfaces.
- The models provide a geometric perspective on nuclear structure.
- Extension of previous hydrogen models to Helium isotopes.

## Abstract

A previous paper (M.F.Atiyah and N.S.Manton, Complex geometry of nuclei and atoms, arXiv:1609.02816) modelled atoms and their isotopes by complex algebraic surfaces, with the projective plane modelling Hydrogen. In this paper, models of the stable isotopes Helium-4 and Helium-3 are constructed.