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Some Differential Equations for the Riemann $θ$-Function on Jacobians

Published 26 Nov 2018 in math.AG and math.NT | (1811.10476v3)

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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Authors (1)

  1. Robert Wilms 

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