Period relations for hyperelliptic riemann surfaces

Hershel M. Farkas

doi:10.1007/BF02771646

Period relations for hyperelliptic riemann surfaces

Hershel M. Farkas^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we derive an elementary derivation of the Schottky relation for hyperelliptic Riemann surfaces of genus 4. The relation obtained generalizes immediately to hyperelliptic surfaces of genus greater than 4. The derivation is elementary in the sense that it does not require the Schottky-Jung conjecture.

Original language	English
Pages (from-to)	289-301
Number of pages	13
Journal	Israel Journal of Mathematics
Volume	10
Issue number	3
DOIs	https://doi.org/10.1007/BF02771646
State	Published - Sep 1971

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AB - In this paper, we derive an elementary derivation of the Schottky relation for hyperelliptic Riemann surfaces of genus 4. The relation obtained generalizes immediately to hyperelliptic surfaces of genus greater than 4. The derivation is elementary in the sense that it does not require the Schottky-Jung conjecture.

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Period relations for hyperelliptic riemann surfaces

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