4 papers
Generalised Howe curves of genus five attaining the Serre bound
Motoko Qiu Kawakita
We find that non-hyperelliptic generalised Howe curves and their twists of genus 5 attain the Hasse-Weil-Serre bound over some finite fields of order p, p^2 or p^3 for a prime p. W…
New sextics of genus 6 and 10 attaining the Serre bound
Annamaria Iezzi, Motoko Qiu Kawakita, Marco Timpanella
We provide new examples of curves of genus 6 or 10 attaining the Serre bound. They all belong to the family of sextics introduced in [19] as a a generalization of the Wiman sextics…
New examples of maximal curves with low genus
Daniele Bartoli, Massimo Giulietti, Mokoto Kawakita +1
We investigate the Jacobian decomposition of some algebraic curves over finite fields with genus , and . As a corollary, explicit equations for curves that are either ma…
An -maximal Wiman's sextic and its automorphisms
Massimo Giulietti, Motoko Kawakita, Stefano Lia +1
In 1895 Wiman introduced a Riemann surface of genus over the complex field defined by the homogeneous equation $\mathcal{W}:X^6+Y^6+Z^6+(X^2+Y^2+Z^2)…