著者

Mourougane Christophe

出版者

京都大学

雑誌

Publications of the Research Institute for Mathematical Sciences (ISSN:00345318)

巻号頁・発行日

vol.33, no.6, pp.893-916, 1997

被引用文献数

9

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Our main purpose is to study ampleness and positivity properties of the direct image &phi;{\bigstar}<I>L</I> of a holomorphic line bundle <I>L</I> under a smooth morphism &phi;: <I>X</I>&rarr;<I>Y</I> between compact complex analytic manifolds. We show that in general the ampleness of <I>L</I> does not imply that of the direct image &phi;{\bigstar}<I>L</I> but only that of the direct image of the adjoint line bundle &phi;{\bigstar}(<I>K</I><SUB><I>X</I>/<I>Y</I></SUB>&otimes;<I>L</I>).