Problem detail · source-aware
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da Silva Machado and Seade conjectured that weighted homogeneous isolated hypersurface singularities are exactly those admitting a logarithmic vector field transverse to the link. True: for a reduced isolated hypersurface germ in $\mathbb{C}^{n+1}$ with $n \ge 2$, or $n = 1$ and the germ irreducible, the criterion holds.
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The paper states that its main result was obtained by the Danus system, a specialized agent built on Rethlas and described as substantially more capable for fundamental mathematical research. A separate paper published the same week gives a different, human proof of the same conjecture and cites this one as the agent's.
Provider: unknown · Prompt public: unknown · Independence: unknown
No independent check. arXiv preprint; not yet peer-reviewed.
Correctness: unknown · statement fidelity: unaudited · peer review: none
an independent human proof of the same conjecture appeared the same week
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.