Kodaira vanishing theorem for log-canonical and semi-log-canonical pairs

Osamu Fujino
2015 Proceedings of the Japan Academy. Series A Mathematical sciences  
We prove the Kodaira vanishing theorem for log-canonical and semi-logcanonical pairs. We also give a relative vanishing theorem of Reid-Fukuda type for semi-logcanonical pairs.
doi:10.3792/pjaa.91.112 fatcat:6xbutwngqvbtnm4ofxvvzbz7ky