Higher direct images of log canonical divisors and positivity theorems

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dc.creatorFujino, Osamu
dc.date2003-02-07
dc.date.accessioned2026-07-07T04:55:05Z
dc.date.available2026-07-07T04:55:05Z
dc.descriptionIn this paper, we investigate higher direct images of log canonical divisors. After we reformulate Kollár's torsion-free theorem, we treat the relationship between higher direct images of log canonical divisors and the canonical extensions of Hodge filtration of gradedly polarized variations of mixed Hodge structures. As a corollary, we obtain a logarithmic version of Fujita-Kawamata's semi-positivity theorem. By this semi-positivity theorem, we generalize Kawamata's positivity theorem and apply it to the study of a log canonical bundle formula. The final section is an appendix, which is a result of Morihiko Saito.
dc.description38 pages, with Appendix by Morihiko Saito
dc.identifierhttps://arxiv.org/abs/math/0302073
dc.identifierhttp://arxiv.org/abs/math/0302073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66463
dc.subjectAlgebraic Geometry
dc.subject14N30; 14D07; 14J40; 14E30
dc.titleHigher direct images of log canonical divisors and positivity theorems
dc.typetext

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