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arXiv · 1811.10476

Some Differential Equations for the Riemann $\theta$-Function on Jacobians

Robert Wilms
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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.

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Robert Wilms. 2018-11-26. Some Differential Equations for the Riemann $\theta$-Function on Jacobians. https://doi.org/10.3842/sigma.2024.060

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