2 problems

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Three Weyl orbits conjecture for moving curves on $X^3_8$ and $X^5_9$
Let $X=X^5_9$ or $X=X^3_8$ , and let $\mathcal{C}_0$ denote the cone of moving curves of $X$ . Let $F$ be the anticanonical curve class, and let $(0)$ -Weyl lines and $(1)$ -Weyl lines…
Conjectureopenbirational-geometry blowups curve-conesarXiv posted 2 days ago
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Equality or comparability of mobility and the volume of the movable cone
Mobility-volume conjecture. One has
Problemopenalgebraic-geometry birational-geometry curve-conesarXiv posted 2 days ago

Three Weyl orbits conjecture for moving curves on X83X^3_8X83​ and X95X^5_9X95​