On the uniqueness of elliptic K3 surfaces with maximal singular fibre

Details On the uniqueness of elliptic K3 surfaces with maximal singular fibre On the uniqueness of elliptic K3 surfaces with maximal singular fibre

2007-12-22

arxiv.org/abs/0712.3873v2

Mathematics

Algebraic Geometry

20 pages; v2: refereed version with some corrections and additions; author addresses and bibliography updated

Scientific paper

We explicitly determine the elliptic K3 surfaces with a maximal singular fibre. If the characteristic of the ground field is different from 2, for each of the two possible maximal fibre types, $I_{19}$ and $I^*_{14}$, the surface is unique. In characteristic 2 the maximal fibre types are $I_{18}$ and $I^*_{13}$, and there exist two (resp. one) one-parameter families of such surfaces.

Affiliated with

Also associated with

No associations

Rating

On the uniqueness of elliptic K3 surfaces with maximal singular fibre 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 uniqueness of elliptic K3 surfaces with maximal singular fibre, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the uniqueness of elliptic K3 surfaces with maximal singular fibre will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-426055