2 problems

Hussain–Ma–Yau–Zuo's non-existence conjecture for negative derivations
Hussain–Ma–Yau–Zuo's conjecture. The graded algebra
openFrom papersderivations higher-nash-blowup weighted-homogeneous-singularities
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7
Weighted homogeneity via logarithmic vector fields
Machado–Seade conjecture. The following statements are equivalent: $(D,0)$ is weighted homogeneous; there exists a holomorphic vector field tangent to $D$ with an isolated singular…
solvedgeometry-topology logarithmic-vector-fields singularity-theory weighted-homogeneous-singularities
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22

Hussain–Ma–Yau–Zuo's non-existence conjecture for negative derivations