The conjectural presentation of the valuation algebra of complex space forms
The presentation conjecture. For the valuation algebra Vλn\mathcal{V}^n_\lambdaVλn,
The structure conjecture for the algebras VC,λ,n\mathcal V^{\mathbb{C},\lambda,n}VC,λ,n
The structure conjecture. For every i>ni>ni>n, one has