algebra / Commutative algebra; differential operators

The Generalized Vanishing Conjecture

For n <= 2, we proof that the Generalized Vanishing Conjecture holds, and we have a failure at dimension 3 (including a counter-example). This improves the original failure at dimension 5.

15Significance / 100
3Frontier events
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0Recorded attempts

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algebraSep 3, 2026Significance 15/100Registry: lean verified

The Generalized Vanishing Conjecture

disproved→disproved

For n <= 2, we proof that the Generalized Vanishing Conjecture holds, and we have a failure at dimension 3 (including a counter-example). This improves the original failure at dimension 5.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algebraSep 2, 2026Significance 15/100

The Generalized Vanishing Conjecture

disproved→disproved

VibeMathed recorded: The Generalized Vanishing Conjecture. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review
algebraAug 7, 2026Significance 15/100

The Generalized Vanishing Conjecture

Prior state unknown→disproved

VibeMathed recorded: The Generalized Vanishing Conjecture. Consult the linked registry entry for the original report and scope.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

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For n <= 2, we proof that the Generalized Vanishing Conjecture holds, and we have a failure at dimension 3 (including a counter-example). This improves the original failure at dimension 5.

For n <= 2, we proof that the Generalized Vanishing Conjecture holds, and we have a failure at dimension 3 (including a counter-example). This improves the original failure at dimension 5.

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The Generalized Vanishing Conjecture — Mathematical Frontier Network