5 papers
-numbers of covers in characteristic two: semigroups and Riemann-Roch spaces
Gilberto B. Almeida Filho, Saeed Tafazolian, Stéfani C. Vieira
We compute the -numbers of the Garcia-Güneri-Stichtenoth curves, the Beelen-Montanucci curves, and the Skabelund covers of Suzuki curves in characteristic two. The proofs use th…
-Numbers, higher Cartier ranks and maximality of van der Geer-van der Vlugt curves
Gilberto B. Almeida Filho, Saeed Tafazolian, Stéfani C. Vieira
Let be an odd prime and let be the van der Geer-van der Vlugt curve over an algebraically closed field of characteristic , where $R(x)=\sum_{i=0}^{h}a_ix…
Nonexistence of maximal curves of genus five over $\F_{64}$
Gilberto B. Almeida Filho, Saeed Tafazolian, Stéfani C. Vieira
We show that there is no maximal curve of genus five over $\F_{64}$. As a consequence, , and the genus spectrum of maximal curves over $\F_{64}$ is determined. The p…
Maximal Subcovers of the Skabelund Curve: Uniqueness via Genus and Automorphism Groups
Gilberto B. Almeida Filho, Saeed Tafazolian, Stéfani C. Vieira
We establish a rigidity phenomenon for a family of intermediate covers of the Skabelund curve over . The Skabelund curve, introduced by D.~Skabelund as a cyclic c…
A certain sequence on pure sparse gapsets
Gilberto Brito, Stéfani Vieira
In this paper, we study the pure sparse gapsets and our focus on getting information about the sequence observed in Table 3 at [1], this sequence is listed in OEIS as A374773.…