18 citations · 62 across the 21 of their papers we have counts for
30 papers
Diophantine stability for curves over finite fields
Francesc Bars, Joan Carles Lario, Brikena Vruoni
We carry out a survey on curves defined over finite fields that are Diophantine stable; that is, with the property that the set of points of the curve is not altered under a proper…
The stratification by automorphism groups of smooth plane sextic curves
Eslam Badr, Francesc Bars
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 group a geo…
Bielliptic quotient modular curves of
Francesc Bars, Mohamed Kamel, Andreas Schweizer
Let be a non-square free integer and let be a non-trivial subgroup of the group of the Atkin-Lehner involutions of such that the modular curve …
On fake ES-irreducibile components of certain strata of smooth plane sextics
Eslam Badr, Francesc Bars
We construct the first examples of what we call fake ES-irreducible components; Definition 2.8. In our way to do so, we classify the automorphism groups of smooth plane sextics tha…
Infinitely many cubic points for over
Francesc Bars, Tarun Dalal
We determine all modular curves that admit infinitely many cubic points over the rational field .
The automorphism group of the modular curve with square-free level
Francesc Bars, Josep González
We determine the automorphism group of the modular curve , obtained as the quotient of the modular curve by the group of its Atkin-Lehner involutions, for all sq…