We obtain the list of automorphism groups for smooth plane sextic curves over an
algebraically closed field K of characteristic p= 0 or p> 21. Moreover, we assign to each …

A Howe curve is defined as the normalization of the fiber product over a projective line of two
hyperelliptic curves. Howe curves are very useful to produce important classes of curves …

Let $ G $ be a finite subgroup of $\operatorname {PGL} _3 (\mathbb {C}) $, and let $\sigma $
be the generator of $\operatorname {Gal}(\mathbb {C}/\mathbb {R}) $. We say that $ G $ has …

Let G be a finite subgroup of PGL 3 (C), and let σ be the generator of Gal (C/R). We say that
G has a real field of moduli if σ G and G are PGL 3 (C)-conjugates. Furthermore, we say that …

In algebraic geometry, it is important to provide effective parametrizations for families of
curves, both in theory and in practice. In this paper, we present such an effective …

The 10th September 2014 in the afternoon, I defended my Ph. D. thesis entitled “Arithmetic
properties of genus 3 curves”. It contained my results on an algorithm to compute twists of …