Pencils of genus two curves on rational surfaces

Details Pencils of genus two curves on rational surfaces Pencils of genus two curves on rational surfaces

2010-06-22

arxiv.org/abs/1006.4372v1

Mathematics

Algebraic Geometry

Scientific paper

We consider relatively minimal fibrations of curves of genus two on rational
surfaces whose Picard numbers are not maximal. By birational morphisms, such
fibred surfaces are interpreted as pencils of plane curves. We show that only
four are canonical, among a variety of possible models. For each canonical
pencil, we give an example with trivial Mordell-Weil group.

Affiliated with

Also associated with

No associations

Rating

Pencils of genus two curves on rational surfaces 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 Pencils of genus two curves on rational surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pencils of genus two curves on rational surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-276614