The Holomorphic Extension Property for Higher Du Bois Singularities

Benjamin Tighe

Let $X$ be a normal complex variety and $\pi :\tilde{X}\to X$ a resolution of singularities. We show that the inclusion morphism ${\pi }_{\ast }{\Omega }_{\tilde{X}}^p\hookrightarrow {\Omega }_X^{[p]}$ is an iso…