Some Differential Equations for the Riemann $\theta$-Function on Jacobians
Algebraic Geometry
2024-07-03 v3 Number Theory
Abstract
We prove some differential equations for the Riemann theta function associated to the Jacobian of a Riemann surface. The proof is based on some variants of a formula by Fay for the theta function, which are motivated by their analogues in Arakelov theory of Riemann surfaces.
Cite
@article{arxiv.1811.10476,
title = {Some Differential Equations for the Riemann $\theta$-Function on Jacobians},
author = {Robert Wilms},
journal= {arXiv preprint arXiv:1811.10476},
year = {2024}
}