Rosenhain-Thomae formulae for higher genera hyperelliptic curves
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 $\t...
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.1707.08855 |