Let C be a an odd degree hyperelliptic curve embedded in its jacobian J in such a way that the infinite point goes to the identity element of J.
We give explicit formulas (in terms of Mumford for representations of halves of points of C in J. We also discuss torsion points of small order on C.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/5312