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Acyclicity conjecture for Gröbner-smoothable simplicial complexes
Acyclicity conjecture. If $\Gamma$ is Gröbner smoothable over $K$ , then $\Gamma$ is acyclic over $K$ .
Conjecturesolvedcombinatorial-topology commutative-algebra grobner-degenerationsarXiv posted 2 days ago

Acyclicity conjecture for Gröbner-smoothable simplicial complexes