Mathematics – Algebraic Geometry
Scientific paper
2011-11-21
Mathematics
Algebraic Geometry
Comments welcome, 17 pages
Scientific paper
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.
No associations
LandOfFree
The map defined by a non-very ample line bundle on an irregular variety does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The map defined by a non-very ample line bundle on an irregular variety, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The map defined by a non-very ample line bundle on an irregular variety will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-376456