On surfaces with $p_g=q=2$ and non-birational bicanonical map

Details On surfaces with $p_g=q=2$ and non-birational bicanonical map On surfaces with $p_g=q=2$ and non-birational bicanonical map

2000-12-21

arxiv.org/abs/math/0012211v2

Mathematics

Algebraic Geometry

To appear in Advances in Geometry, Latex 2e, 26 pages, title and introduction changed, minor corrections

Scientific paper

This paper is devoted to the classification of irregular surfaces of general type with $p_g=q=2$ and non birational bicanonical map. The main result is that, if $S$ is such a surface and if $S$ is minimal with no pencil of curves of genus 2, then $S$ is a double cover of a principally polarized abelian surface $(A,\Theta)$, with $\Theta$ irreducible. The double cover $S\to A$ is branched along a divisor $B\in |2\Theta|$, having at most double points and so $K_S^2=4$.

Affiliated with

Also associated with

No associations

Rating

On surfaces with $p_g=q=2$ and non-birational bicanonical map 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 On surfaces with $p_g=q=2$ and non-birational bicanonical map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On surfaces with $p_g=q=2$ and non-birational bicanonical map will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662867