AbstractNon-singular plane algebraic curves over Fq with a Singer group of PGL(3,q) in their automorphism group are classified. Apart from three distinguished points, the set of Fq3-rational points of such curves can be partitioned into 2−(q2+q+1,q+1,1) designs each isomorphic to the finite projective plane P2(Fq)
Let Fx be the N-th Fermat curve defined by the equation: ux+vn=1. For a pair (r, s) of positive int...
Let Fq be the finite field of order q=ph with p>2 prime and h>1, and let Fq¯ be a subfield of ...
A singular curve over a non-perfect field K may not have a smooth model over K. Those are said to ...
AbstractWe determine the number of Fq-rational points of a class of Artin–Schreier curves by using r...
For a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-...
AbstractWe give a formula for the number of rational points of projective algebraic curves defined o...
Im ersten Teil der Thesis betrachten wir möglicherweise singuläre rationale projektive K*-Flächen un...
In this thesis we consider two problems related to algebraic curves in prime characteristic. In the ...
AbstractWe determine the automorphism group of the modular curve X0∗(p) for all prime numbers p
We make computer search among curves defined by ya = xb (1 - xc)d over Fpn where p does notdivide a ...
AbstractLet G be the Galois group of a Galois point for a plane curve C. An element of G induces a b...
AbstractLet GF(q) be the Galois field of orderq=ph, and letm≥3 be an integer. An explicit formula fo...
AbstractIn 1995, Garcia and Stichtenoth explicitly constructed a tower of projective curves over a f...
A criterion for the existence of a plane model of an algebraic curve such that the Galois closures o...
Pavlos Tzermias en su artículo "The group of automorphisms of the Fermat curve"(ver [7]), prueba que...
Let Fx be the N-th Fermat curve defined by the equation: ux+vn=1. For a pair (r, s) of positive int...
Let Fq be the finite field of order q=ph with p>2 prime and h>1, and let Fq¯ be a subfield of ...
A singular curve over a non-perfect field K may not have a smooth model over K. Those are said to ...
AbstractWe determine the number of Fq-rational points of a class of Artin–Schreier curves by using r...
For a curve of genus > 1 defined over a finite field, we present a sufficient criterion for the non-...
AbstractWe give a formula for the number of rational points of projective algebraic curves defined o...
Im ersten Teil der Thesis betrachten wir möglicherweise singuläre rationale projektive K*-Flächen un...
In this thesis we consider two problems related to algebraic curves in prime characteristic. In the ...
AbstractWe determine the automorphism group of the modular curve X0∗(p) for all prime numbers p
We make computer search among curves defined by ya = xb (1 - xc)d over Fpn where p does notdivide a ...
AbstractLet G be the Galois group of a Galois point for a plane curve C. An element of G induces a b...
AbstractLet GF(q) be the Galois field of orderq=ph, and letm≥3 be an integer. An explicit formula fo...
AbstractIn 1995, Garcia and Stichtenoth explicitly constructed a tower of projective curves over a f...
A criterion for the existence of a plane model of an algebraic curve such that the Galois closures o...
Pavlos Tzermias en su artículo "The group of automorphisms of the Fermat curve"(ver [7]), prueba que...
Let Fx be the N-th Fermat curve defined by the equation: ux+vn=1. For a pair (r, s) of positive int...
Let Fq be the finite field of order q=ph with p>2 prime and h>1, and let Fq¯ be a subfield of ...
A singular curve over a non-perfect field K may not have a smooth model over K. Those are said to ...
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