  We correct the proof and slightly strengthen a Kodaira-type vanishing theorem
for singular varieties originally due to Jaffe and the first author.
Specifically, we show that if $L$ is a nef and big line bundle on a projective
variety of characteristic zero, the $i^{\text{th}}$ cohomology of $L^{-1}$
vanishes for $i$ in a range determined by the depth and dimension of the
singular locus.
