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k-The arithmetic of superelliptic curves

I got interested on superelliptic curves early in the 2000s when I noticed certain similarities with hyperelliptic curves.  Lately, this has become my main focus of research; to see what exactly can be extended from the theory of arithmetic of hyperelliptic curves to the superelliptic curves.

In 2014, I run a NATO Advanced Study Institute (Ohrid, Macedonia) on the arithmetic of superelliptic curves.  The volume proceedings has many introductury lectures which could be a good start for the beginners,
  • The case for superelliptic curves
    L. Beshaj, T. Shaska, E. Zhupa
  • Weierstrass points of superelliptic curves
    T. Shaska, C. Shor
  • Superelliptic curves over the reals
    M. Izquierdo, T. Shaska