The Du Bois complex of a hypersurface and the minimal exponent

Mircea Mustata, Sebastian Olano, Mihnea Popa +1

We study the Du Bois complex ${\underline{\Omega }}_Z^{\bullet }$ of a hypersurface $Z$ in a smooth complex algebraic variety in terms its minimal exponent $\tilde{\alpha }(Z)$. The latter is an in…