3 problems

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Upper semicontinuity conjecture for Gevrey slopes of $A$ -hypergeometric systems
Gevrey-slope conjecture. The map $\beta\mapsto {\operatorname{d}_s}(A,\beta)$ is upper-semicontinuous. Moreover,
Conjectureopena-hypergeometric-systems gevrey-series semicontinuityarXiv posted 2 days ago
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Lower semicontinuity of Frobenius splitting numbers for finitely generated modules
Module-valued lower semicontinuity conjecture. The function $s_{e,M}$ is lower semicontinuous.
Conjectureopencommutative-algebra frobenius-splitting semicontinuityarXiv posted 2 days ago
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Lower semicontinuity of Frobenius splitting numbers for excellent locally equidimensional rings
Lower semicontinuity conjecture. The function $s_e:\operatorname{Spec}(R)\to\mathbb{Q}$ is lower semicontinuous.
Conjectureopencommutative-algebra frobenius-splitting semicontinuityarXiv posted 2 days ago

Upper semicontinuity conjecture for Gevrey slopes of AAA-hypergeometric systems