Rosenhain-Thomae formulae for higher genera hyperelliptic curves
classification
🧮 math.AG
keywords
curvesformulahyperellipticconstantsgenerahigherrosenhaintheta
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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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