Some Adjunction Properties of Ample Vector Bundles

Canadian mathematical bulletin

关键词: ample vector bundle;    adjunction;    sectional genus;   

DOI  :  10.4153/CMB-2001-045-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $ce$ be an ample vector bundle of rank $r$ on a projectivevariety $X$ with only log-terminal singularities. We consider thenefness of adjoint divisors $K_X + (t-r) det ce$ when $t ge dim X$and $t>r$. As an application, we classify pairs $(X,ce)$ with$c_r$-sectional genus zero.

【 授权许可】

Unknown