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

Osamu Fujino

doi:10.3792/pjaa.91.112

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October 2015 Kodaira vanishing theorem for log-canonical and semi-log-canonical pairs

Osamu Fujino

Proc. Japan Acad. Ser. A Math. Sci. 91(8): 112-117 (October 2015). DOI: 10.3792/pjaa.91.112

Abstract

We prove the Kodaira vanishing theorem for log-canonical and semi-log-canonical pairs. We also give a relative vanishing theorem of Reid–Fukuda type for semi-log-canonical pairs.

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Osamu Fujino. "Kodaira vanishing theorem for log-canonical and semi-log-canonical pairs." Proc. Japan Acad. Ser. A Math. Sci. 91 (8) 112 - 117, October 2015. https://doi.org/10.3792/pjaa.91.112