Math 255 Term Paper: Fay’s Trisecant Identity
نویسنده
چکیده
The purpose of this term paper is to give an accessible exposition of Fay’s trisecant identity [1]. Fay’s identity is a relation between the theta function and the cross-ratio function associated to a compact Riemann surface [2]. Although the majority of the paper will consist of developing the machinery needed to define these objects, let us briefly say a few words about some familiar objects that they generalize. The cross-ratio function will be a higher genus generalization of the usual cross-ratio of an ordered set of four points in P, defined by
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Triple Massey Products on Curves, Fay’s Trisecant Identity and Tangents to the Canonical Embedding
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