2 problems

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Topological multivariable strong monodromy conjecture
About 14 years old
Topological multivariable strong monodromy conjecture. The polar locus of $Z_{F}^{\operatorname{top}}(S)$ is contained in $V(B_{F})$ .
claimed progressbernstein-sato-theory monodromy-conjectures topological-zeta-functions
011
Budur's hyperplane-arrangement Bernstein–Sato variety conjecture
About 7 years old
Budur's conjecture. The affine hyperplane
openbernstein-sato-theory hyperplane-arrangements singularities
08

Topological multivariable strong monodromy conjecture