The Euler Characteristic Formula for Logarithmic Minimal Degenerations of Surfaces with Kodaira Dimension Zero and its application to Calabi-Yau Threefolds with a pencil

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dc.creatorOhno, Koji
dc.date2007-10-19
dc.date.accessioned2026-07-07T08:37:18Z
dc.date.available2026-07-07T08:37:18Z
dc.descriptionIn this paper, the Euler characteristic formula for projective logarithmic minimal degenerations of surfaces with Kodaira dimension zero over a 1-dimensional complex disk is proved under a reasonable assumption and as its application, the singularity of logarithmic minimal degenerations are determined in the abelian or hyperelliptic case. By globalizing this local analysis of singular fibres via generalized canonical bundle formulae due to Fujino-Mori, we bound the number of singular fibres of abelian fibred Calabi-Yau threefolds from above,which was previously done by Oguiso in the potentially good reduction case.
dc.identifierhttps://arxiv.org/abs/0710.3641
dc.identifierhttp://arxiv.org/abs/0710.3641
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140356
dc.subjectAlgebraic Geometry
dc.titleThe Euler Characteristic Formula for Logarithmic Minimal Degenerations of Surfaces with Kodaira Dimension Zero and its application to Calabi-Yau Threefolds with a pencil
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