The dualizing complex of F-injective and Du Bois singularities

Let be an excellent local ring of equal characteristic. Let j be a positive integer such that has finite length for every . We prove that if R is F-injective in characteristic or Du Bois in characteristic 0, then the truncated dualizing complex is quasi-isomorphic to a complex of k-vector spaces. As a consequence, F-injective or Du Bois singularities with isolated non-Cohen-Macaulay locus are Buchsbaum. Moreover, when R has F-rational or rational singularities on the punctured spectrum, we obtain stronger results generalizing Ishida (The dualizing complexes of normal isolated Du Bois singularities. Algebraic and topological theories, 387-390, 1984) and Ma (Math Ann 362:25-42, 2015).