4 problems

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…
opendivisorial-extractions smoothings toric-geometry
0 responses
05
The random-curve taut smoothing conjecture
Random-curve taut smoothing conjecture. A random curve has a taut smoothing.
opencurves smoothings surface-topology
0 responses
05
Looijenga's smoothability conjecture for cusp singularities
Looijenga's conjecture. The cusp $(X,x)$ is smoothable if and only if the minimal resolution of the dual cusp sits on a rational surface.
opencusp-singularities smoothings surface-singularities
0 responses
05
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…
opensingularity-theory smoothings surface-singularities
0 responses
07

Compatible-extraction conjecture for zero mutable Laurent polynomials