Ten Compatible Poisson Brackets on $\mathbb P^5$

TL;DR

This paper provides explicit formulas for ten compatible Poisson brackets on the five-dimensional projective space, expanding the understanding of Poisson structures in algebraic geometry.

Contribution

It introduces explicit formulas for ten compatible Poisson brackets on , building on prior theoretical work and making these structures more accessible for further research.

Findings

Explicit formulas for ten compatible Poisson brackets on 

Enhanced understanding of Poisson structures in algebraic geometry

Foundation for future applications in integrable systems

Abstract

We give explicit formulas for ten compatible Poisson brackets on $\mathbb P^5$ found in arXiv:2007.12351.