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The conjectural presentation of the valuation algebra of complex space forms
About 14 years old
The presentation conjecture. For the valuation algebra $\mathcal{V}^n_\lambda$ ,
opencomplex-space-forms integral-geometry valuation-algebras
07
The structure conjecture for the algebras $\mathcal V^{\mathbb{C},\lambda,n}$
About 15 years old
The structure conjecture. For every $i>n$ , one has
openintegral-geometry valuation-algebras
08