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Fay's trisecant formula and cross-ratios

Author: Cris Poor
Journal: Proc. Amer. Math. Soc. 114 (1992), 667-671
MSC: Primary 14H42
MathSciNet review: 1062834
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Abstract: This note considers Fay's trisecant formula as a relation between cross-ratio functions and thereby gives a simple proof of the trisecant formula. In this proof the expression for the cross-ratio function is lifted from the theta locus to the entire Jacobian. Variations of the formula as used by different authors are also given.

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Keywords: Riemann surface, theta function, cross-ratio, trisecant formula
Article copyright: © Copyright 1992 American Mathematical Society