Curves of maximal slope are a reference gradient-evolution notion in metric spaces and arise as variational formulation vast class nonlinear diffusion equations. Existence theories for curves often based on minimizing-movements schemes, most notably the Euler scheme. We present here an alternative approach, yielding more regular discretizations, serving a-posteriori convergence estimator, allow...

In 2017 Skabelund constructed two new examples of maximal curves S ˜ q and R as covers the Suzuki Ree curves, respectively. The resulting are analogous to Giulietti–Korchmáros cover Hermitian curve. this paper a complete characterization all Galois subcovers is given. Calculating genera corresponding we find additions list known over finite fields.