Mori Fibre Spaces for Kähler Threefolds

Journal of Mathematical Sciences

Peternell, Thomas¹  Höring, Andreas¹ 

关键词: MMP;    rational curves;    Zariski decomposition;    Kähler manifolds.;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Let$X$beacompactKählerthreefoldsuchthatthebaseoftheMRC-fibrationhasdimensiontwo.Weprovethat$X$isbimeromorphictoaMorifibrespace.Togetherwithourearlierresultcite{HP13}thiscompletestheMMPforcompactKählerthreefolds:let$X$beanon-projectivecompactKählerthreefold.Then$X$hasaminimalmodelor$X$isbimeromorphictoaMorifibrespaceoveranon-projectiveKählersurface.

【 授权许可】

Unknown