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Apr 21, 2020 at 3:51 comment added roy smith I recommend Mumford's Tata Lectures on Theta I, e.g.pages 118, 134-5. and more. The point is that these relations allow one to define a map, the Torelli map, from the set of isomorphism classes of curves, to a quotient of "Siegel space".
Apr 20, 2020 at 16:12 comment added asv No, I do not know any applications, even in Chapter 2 of Griffiths-Harris most of which is about Riemann surfaces. Thus it would be helpful to have a reference to a concrete place in Chapter 2. Thank you so much.
Apr 20, 2020 at 15:39 history answered Donu Arapura CC BY-SA 4.0