Arithmetic of the [19,1,1,1,1,1] fibration

Details Arithmetic of the [19,1,1,1,1,1] fibration Arithmetic of the [19,1,1,1,1,1] fibration

2005-10-04

arxiv.org/abs/math/0510063v1

Comm. Math. Univ. St. Pauli 55, 1 (2006), 9-16

Mathematics

Algebraic Geometry

8 pages, plain text

Scientific paper

This paper studies the arithmetic of the extremal elliptic K3 surface with configuration of singular fibres [19,1,1,1,1,1]. We give a model over Q such that the Neron Severi group is generated by divisors over Q, and we describe the local Hasse-Weil zeta-functions in terms of a modular form of weight 3. Furthermore we verify the Tate conjecture for the reduction at 3 and comment on a conjecture of T. Shioda concerning the similarity of the lattice of transcendental cycles and a lattice resulting from supersingular reduction.

Affiliated with

Also associated with

No associations

Rating

Arithmetic of the [19,1,1,1,1,1] fibration 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 Arithmetic of the [19,1,1,1,1,1] fibration, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Arithmetic of the [19,1,1,1,1,1] fibration will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83759