1 problem

The converse higher Du Bois–rational singularities conjecture
Higher Du Bois implies lower rational conjecture. If $X$ has lci singularities and $X$ is $k$ -Du Bois, then $X$ is $(k-1)$ -rational.
opendu-bois-singularities higher-singularities rational-singularities
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The converse higher Du Bois–rational singularities conjecture