Higher Du Bois singularities of hypersurfaces
Higher Du Bois singularities of hypersurfaces
For a complex algebraic variety X $X$ , we introduce higher p $p$ -Du Bois singularity by imposing canonical isomorphisms between the sheaves of Kähler differential forms Ω X q $\Omega _X^q$ and the shifted graded pieces of the Du Bois complex Ω ̲ X q $\underline{\Omega }_X^q$ for q …