4 problems

A quantum projective space has a quantum metric $g$ and a connection whose curvature defines an appropriately defined Ricci tensor. The Einstein condition conjecture. The Ricci ten…

Let ${\mathcal A}(\alpha)$ be the quadratic quantum algebra under consideration, let ${\mathfrak L}(\alpha)\subseteq {\mathcal V}(P)\subseteq {\mathbb P}^5$ be its line scheme, and…

Line-scheme conjecture. The line scheme of the most generic quadratic quantum ${\mathbb P}^3$ is isomorphic to the union of two spatial (irreducible and nonsingular) elliptic curve…

Let $\mathbb{P}^{n-1}_{\omega}$ and $\mathbb{P}^{n-1}_{\omega'}$ be quantum projective spaces with associated graded algebras $S_{\omega}$ and $S_{\omega'}$, respectively. Here…