Kodaira vanishing for singular varieties revisited

Name: Work Video:
Duration: 3 min 30 s
Description: 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 $i^{ ext{th}}$ cohomology of $L^{-1}$ vanishes for $i$ in a range determined by the depth and dimension of the singular locus.
Donu Arapura; Lei Song
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