Galois descent for the gonality of curves
Algebraic Geometry
2017-07-04 v4 Number Theory
Abstract
We determine conditions for the invariance of the gonality under base extension, depending on the numeric invariants of the curve. More generally, we study the Galois descent of morphisms of curves to Brauer-Severi varieties, and also of rational normal scrolls.
Keywords
Cite
@article{arxiv.1405.5991,
title = {Galois descent for the gonality of curves},
author = {Joaquim Roé and Xavier Xarles},
journal= {arXiv preprint arXiv:1405.5991},
year = {2017}
}
Comments
20 pages. To appear in Math Res Let