- 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
Our main purpose is to study ampleness and positivity properties of the direct image φ{\bigstar}<I>L</I> of a holomorphic line bundle <I>L</I> under a smooth morphism φ: <I>X</I>→<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 φ{\bigstar}<I>L</I> but only that of the direct image of the adjoint line bundle φ{\bigstar}(<I>K</I><SUB><I>X</I>/<I>Y</I></SUB>⊗<I>L</I>).