Some remarks to a Theorem of van Geemen
Algebraic Geometry
2025-04-01 v2 Number Theory
Abstract
In [ Ge], Bert van Geemen computed the dimension of the space of the fourth power of the theta nullwerte. In [SM2], it has been observe that all linear relations between the are consequences of the quartic Riemann relations. In this note, we want to give a new proof of these result and extend them. In a last section we treat the linear dependencies between arbitrary powers . We will show that is the only case where such dependencies can occur. For this reason, we give a slightly different title: Some remarks to a Theorem of van Geemen
Keywords
Cite
@article{arxiv.2501.15213,
title = {Some remarks to a Theorem of van Geemen},
author = {Riccardo Salvati Manni and Eberhard Freitag},
journal= {arXiv preprint arXiv:2501.15213},
year = {2025}
}