English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, the Euler characteristic formula for projective logarithmicminimal degenerations of surfaces with Kodaira dimension zero over a1-dimensional complex disk is proved under a reasonable assumption and as itsapplication, the singularity of logarithmic minimal degenerations aredetermined in the abelian or hyperelliptic case. By globalizing this localanalysis of singular fibres via generalized canonical bundle formulae due toFujino-Mori, we bound the number of singular fibres of abelian fibredCalabi-Yau threefolds from above,which was previously done by Oguiso in thepotentially good reduction case.

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