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arXiv · 1707.08855

Rosenhain-Thomae formulae for higher genera hyperelliptic curves

Keno Eilers
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Abstract

Rosenhain's famous formula expresses the periods of first kind integrals of genus two hyperelliptic curves in terms of $\theta$-constants. In this paper we generalize the Rosenhain formula to higher genera hyperelliptic curves by means of the second Thomae formula for derivated non-singular $\theta$-constants.

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Keno Eilers. 2017-07-27. Rosenhain-Thomae formulae for higher genera hyperelliptic curves. https://arxiv.org/abs/1707.08855

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