2 problems

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Irreducibility and component-count conjecture for the varieties $P_q$
Irreducibility and component-count conjecture. The varieties $P_q$ in the preceding proof are irreducible, and the number of irreducible components of $\mathfrak C(\mathfrak g_1)$ …
Conjectureopencommuting-varieties irreducible-varieties symmetric-pairsarXiv posted 2 days ago
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Chalykh–Fairon irreducibility conjecture for $\mathcal{C}_{n,d,q}^{\times}$
Let $\mathcal{C}_{n,d,q}^{\times}$ be the variety in the Chalykh–Fairon construction, let $\mathfrak{h}_{\mathrm{reg}}$ denote the regular locus of the relevant Cartan space, let…
Conjectureopenintegrable-systems irreducible-varieties poisson-geometryarXiv posted 2 days ago

Irreducibility and component-count conjecture for the varieties PqP_qPq​