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Seidel's fourth conjecture on ideal tetrahedron volume and Gram-matrix invariants
Seidel's fourth conjecture. The volume of $S$ is a monotonic function of both $\det G_{ds}$ and $\operatorname{per}G_{ds}$ . In hyperbolic 3-space the conjecture is proved, with the…
Conjecturesolvedhyperbolic-geometry ideal-tetrahedra matrix-theoryarXiv posted 3 days ago

Seidel's fourth conjecture on ideal tetrahedron volume and Gram-matrix invariants