Add to ORKGLet K be the finite field of order $q^2$. For every positive divisor m of q+1 for which d =(q+1)/m is prime, the plane curves C with the given affine equation are covered by the Hermitian curve. The non-singular K-models of these curves are K-maximal and provide examples of non-isomorphic curves with the same genus and the same automorphism group. The case m=2 was previously investigated by the authors
The Deligne–Lusztig curves associated to the algebraic groups of type A22, B22, and G22 are classica...
For a power q of a prime p, the Artin–Schreier–Mumford curve ASM(q) of genus g = (q − 1)2 is the non...
Let Mg be the moduli space of smooth, genus g curves over an algebraically closed field K of zero ch...
Abstract. A family of maximal curves is investigated that are all quotients of the Hermitian curve. ...
AbstractA family of maximal curves is investigated that are all quotients of the Hermitian curve. Th...
For each prime power ℓ the plane curve Xℓ with equation Yℓ2ℓ+1=Xℓ2-X is maximal over Fℓ6. Garcia and...
Abstract For the Hermitian curve H defined over the finite field F q 2, we give a complete classific...
For each proper divisor d of (q - root q + 1), with q an even power of a prime, maximal curves of ge...
We investigate the genera of quotient curves ℋq∕G of the Fq2 -maximal Hermitian curve ℋq, where G is...
The genus g of an F-q2-maximal curve satisfies g = g(1) := q(q - 1)/2 or g less than or equal to g(2...
In this article, we characterize the genera of those quotient curves Hq/G of the Fqjavax.xml.bind.JA...
For every q=n3 with n a prime power greater than 2, the GK-curve is an Fqjavax.xml.bind.JAXBElement@...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
A (projective, geometrically irreducible, non-singular) curve $\mathcal{X}$ defined over a finite fi...
AbstractFor each proper divisordof (q−q+1), withqan even power of a prime, maximal curves of genus 1...
The Deligne–Lusztig curves associated to the algebraic groups of type A22, B22, and G22 are classica...
For a power q of a prime p, the Artin–Schreier–Mumford curve ASM(q) of genus g = (q − 1)2 is the non...
Let Mg be the moduli space of smooth, genus g curves over an algebraically closed field K of zero ch...
Abstract. A family of maximal curves is investigated that are all quotients of the Hermitian curve. ...
AbstractA family of maximal curves is investigated that are all quotients of the Hermitian curve. Th...
For each prime power ℓ the plane curve Xℓ with equation Yℓ2ℓ+1=Xℓ2-X is maximal over Fℓ6. Garcia and...
Abstract For the Hermitian curve H defined over the finite field F q 2, we give a complete classific...
For each proper divisor d of (q - root q + 1), with q an even power of a prime, maximal curves of ge...
We investigate the genera of quotient curves ℋq∕G of the Fq2 -maximal Hermitian curve ℋq, where G is...
The genus g of an F-q2-maximal curve satisfies g = g(1) := q(q - 1)/2 or g less than or equal to g(2...
In this article, we characterize the genera of those quotient curves Hq/G of the Fqjavax.xml.bind.JA...
For every q=n3 with n a prime power greater than 2, the GK-curve is an Fqjavax.xml.bind.JAXBElement@...
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Ci...
A (projective, geometrically irreducible, non-singular) curve $\mathcal{X}$ defined over a finite fi...
AbstractFor each proper divisordof (q−q+1), withqan even power of a prime, maximal curves of genus 1...
The Deligne–Lusztig curves associated to the algebraic groups of type A22, B22, and G22 are classica...
For a power q of a prime p, the Artin–Schreier–Mumford curve ASM(q) of genus g = (q − 1)2 is the non...
Let Mg be the moduli space of smooth, genus g curves over an algebraically closed field K of zero ch...