A structure theorem for fibrations on Delsarte surfaces
Algebraic Geometry
2024-10-22 v1
Abstract
In this paper we study a special class of fibrations on Delsarte surfaces. We call these fibrations Delsarte fibrations. We show that after a specific cyclic base change the fibration is the pull back of a fibration with three singular fibers, and that this second base change is completely ramified at two points where the fiber is singular. As a corollary we show that every Delsarte fibration of genus 1 with nonconstant -invariant occurs as the base change of an elliptic surface from Fastenberg's list of rational elliptic surfaces with .
Cite
@article{arxiv.1204.4103,
title = {A structure theorem for fibrations on Delsarte surfaces},
author = {Bas Heijne and Remke Kloosterman},
journal= {arXiv preprint arXiv:1204.4103},
year = {2024}
}