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arXiv 1111.4798math.AG
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由非正则簇上的非非常充裕线丛定义的映射

The map defined by a non-very ample line bundle on an irregular variety

Lei Zhang

备注：
This paper has been withdrawn by the author. overlapped by axiv:1209.2939, axiv:1210.2060
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摘要：

本文研究了一类特殊的非正则簇上的非很充裕线丛所定义的映射。关于这个问题，众所周知，对于阿贝尔簇$A$上的线丛$L$，线性系统$|2L|$是无基点的，并且3L是非常充分的，而且由线性系统$|2L|$定义的映射也是很好理解的（参见.定理\ref{oldth}）。首先，我们将这个经典结果推广到阿贝尔簇上的投射丛（参见定理\ref{key}）。然后用$dim(X) = q(X)$研究了一般型的非正则本原簇$X$的双标准映射，得到了该映射与因子约化的关系。

英文摘要：

In this paper, we studied the map defined by a non-very ample line bundle on some special irregular varieties. As to this topic, it is well known that for a line bundle $L$ on an Abelian variety $A$, the linear system $|2L|$ is base point free, and 3L is very ample, moreover the map defined by the linear system $|2L|$ is well understood (cf. Theorem \ref{oldth}). First, we generalized this classical result to projective bundles over Abelian varieties (cf. Theorem \ref{key}). Then we studied the bicanonical map of an irregular primitive variety $X$ of general type with $dim(X) = q(X)$, in fact we got a relation between the map and the reducibility of a divisor.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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