Dear all, I am currently doing my research deal with the Jacobian, Arithmetic and Pairings of the hyperelliptic curves ( for pure mathematics). I still at the stage of literature review. To enable me study the hyperelliptic curve, I will start with the elliptic curve and I need to read the book of number theory, algebraic geometry and group theory. However there are don't have many books on hyperelliptic curve. Here are some problems about the hyperelliptic curve. I have came across of real and imaginary hyperelliptic curve but I cannot understand what the meaning of ordinary hyperelliptic curve and non-hyperelliptic curve? I also wish to know what the better steps (materials) to be taken on doing the research of hyperelliptic curve in order to finish my postgraduate study. This is due to the scope is really wide.Thanks.