Abstract
We now come to a very fundamental identity between theta functions that holds for the period matrices of curves, but not for general period matrices. Although the basic ideas behind this identity go back to Riemann, it was not clearly isolated until Fay made his beautiful and systematic analysis of the theory of theta functions (J. Fay, Theta functions on Riemann surfaces, Springer Lecture Notes 352, 1973).
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© 2007 Birkhäuser Boston
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Mumford, D. (2007). Fay’s Trisecant Identity. In: Tata Lectures on Theta II. Modern Birkhäuser Classics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4578-6_14
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DOI: https://doi.org/10.1007/978-0-8176-4578-6_14
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4569-4
Online ISBN: 978-0-8176-4578-6
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