4 problems

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Compatible-extraction conjecture for zero mutable Laurent polynomials
Compatible-extraction conjecture. If the partitions $(\mathbf p_e)_e$ are given by $\mathbf{divstep}_e(f)^\vee$ , then there exists a compatible collection $Y_i\to X_i$ of divisoria…
Conjectureopendivisorial-extractions smoothings toric-geometryarXiv posted 2 days ago
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The random-curve taut smoothing conjecture
Random-curve taut smoothing conjecture. A random curve has a taut smoothing.
Conjectureopencurves smoothings surface-topologyarXiv posted 2 days ago
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The weighted-homogeneity conjecture for rational surface singularities with rational homology disk smoothings
Weighted-homogeneity conjecture. Suppose a rational surface singularity has a $\mathbb Q$ HD smoothing. Then the singularity is weighted homogeneous, hence is one of the known examp…
Conjectureopensingularity-theory smoothings surface-singularitiesarXiv posted 2 days ago
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The weighted-homogeneity conjecture for rational surface singularities with rational homology disk smoothings
Weighted-homogeneity conjecture. Suppose a rational surface singularity has a $\mathbb Q$ HD smoothing. Then the singularity is weighted homogeneous, hence is one of the known examp…
Conjectureopensingularity-theory smoothings surface-singularitiesarXiv posted 2 days ago

Compatible-extraction conjecture for zero mutable Laurent polynomials