Papers-Preprints

Books

  1. 1.Algebra comutativa em quatro movimentos,  with Eduardo Tengan, Coleção Projeto Euclides-1st Edition 2015.

 
  1. 1.H. Borges, M. Homma, Points on singular Frobenius nonclassical  curves. .pdf.

  2. 2.N. Arakelian, H. Borges. Frobenius nonclassicality of Fermat curves with respect to cubics. pdf

  3. 3.Herivelto Borges and Ricardo Conceicao, On the characterization of minimal value set polynomials http://arxiv.org/abs/1108.1852

  4. 4.Miriam Abdon,  Herivelto   Borges, Luciane Quoos.  Weierstrass places on Kummer extensions.  http://arxiv.org/abs/1308.2203

  5. 5.Herivelto Borges,  Frobenius nonclassical components of curves with separated variables.  Journal of Number Theory, v. 159, 402–426 (2016).

  6. 6.H. Borges, A. Sepúlveda, G. Tizziotti, Weierstrass semigroup and Automorphism group of the curves Xn,r.  Finite Fields Appl. 36, 121–132 (2015).

  7. 7.N. Arakelian, H. Borges. Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree.   Acta Arithmetica, v.167, p.43-66, (2015).

  8. 8.Herivelto Borges , Fernado Torres e Beatriz Motta. Complete Arcs arising from a generalization of the               Hermitian Curve. Acta Arithmetica, v.164, p.101-118, (2014).

9. Herivelto Borges and Ricardo Conceicao. On the characterization of minimal value set polynomials. Journal of Number Theory 133 , no. 6, 2021 – 2035 (2013).

10. Borges Filho, H. M. On multi-Frobenius nonclassical plane curves. Archiv der Mathematik  v. 93, p. 541-553, (2009). 

11. Borges H.: On complete (N, d)-arcs derived from plane curves. Finite Fields Appl. 15, 82–96 (2009).