On the isotriviality of families of elliptic surfaces

Details On the isotriviality of families of elliptic surfaces On the isotriviality of families of elliptic surfaces

1999-12-13

arxiv.org/abs/math/9912100v2

Mathematics

Algebraic Geometry

24 pages, LaTeX, revised version

Scientific paper

We study non-isotrivial projective families of elliptic surfaces of Kodaira dimension one, over complex projective curves. If the base is an elliptic curve, we show that the family must have a singular fibre, and that over the projective line it must have at least three singular fibres. Similar results, for families of surfaces of general type, have been obtained by Migliorini and Kov\'acs, and they are well-known for projective families of surfaces of Kodaira dimension zero. Revised version: We corrected some minor errors and ambiguities, and we completed the list of references.

Affiliated with

Also associated with

No associations

Rating

On the isotriviality of families of elliptic 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 On the isotriviality of families of elliptic surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the isotriviality of families of elliptic surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-529997