# D\'ecomposition solitonique des vari\'et\'es toriques

## TL;DR

This paper computes the eigenfunctions of a specific Laplacian operator to determine the solitonic decomposition of Fano toric manifolds, advancing understanding of their geometric structure.

## Contribution

It introduces a method to explicitly compute the solitonic decomposition of Fano toric manifolds using eigenfunctions of the complex Laplacian.

## Key findings

- Explicit eigenfunctions for the solitonic complex Laplacian are obtained.
- The solitonic decomposition of Fano toric manifolds is characterized.
- New techniques for analyzing geometric structures of toric manifolds are developed.

## Abstract

In this paper, we determine the solitonic decomposition of a Fano toric manifold by computing eigenfunctions of solitonic complex Laplacian operator.