%0 Journal Article %T Points on singular Frobenius nonclassical curves %A Herivelto Borges %A Masaaki Homma %J Mathematics %D 2015 %I arXiv %X In 1990, Hefez and Voloch proved that the number of $F_q$-rational points on a nonsingular plane $q$-Frobenius nonclassical curve of degree $d$ is $N = d(q-d+2)$. We address these curves in the singular setting. In particular, we prove that $d(q-d + 2)$ is a lower bound on the number of $F_q$-rational points on such curves of degree $d$. %U http://arxiv.org/abs/1511.00339v1