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math.AG2013★ 2 cited
Cyclic Automorphisms groups of genus 10 non-hyperelliptic curves
Eslam E. Badr, Mohammed A. Saleem
In this paper, we list all cyclic automorphisms subgroups for which there exists a smooth projective non-hyperelliptic sextic curve with . Furthermore, we…
math.AG2013
Gap sequences of 1-Weierstrass points on non-hyperelliptic curves of genus 10
Eslam E. Badr, Mohammed A. Saleem
In this paper, we compute the 1-gap sequences of 1-Weierstrass points on non-hyperelliptic smooth projective curves of genus 10. Furthermore, the geometry of such points is classif…
math.AG2013
Classification of 1-Weierstrass points on Kuribayashi quartics, II (with three parameters)
Eslam E. Badr, Mohammed A. Saleem
In this paper, we classify the 1-Weierstrass points of the Kuribayashi quartic curves with three parameters and defined by the equation \[ C_{a,b,c}:x^{4}+y^{4}+z^{4}+a…