Arakelian, Nazar Duality for certain multi-Frobenius nonclassical curves in higher dimensional spaces. (English) Zbl 07710360 J. Algebra 632, 251-272 (2023). MSC: 14Hxx 14Gxx 11Gxx PDFBibTeX XMLCite \textit{N. Arakelian}, J. Algebra 632, 251--272 (2023; Zbl 07710360) Full Text: DOI arXiv
Arakelian, Nazar; Speziali, Pietro Algebraic curves with automorphism groups of large prime order. (English) Zbl 1522.14042 Math. Z. 299, No. 3-4, 2005-2028 (2021). Reviewer: Maria Montanucci (Lyngby) MSC: 14H37 14H05 PDFBibTeX XMLCite \textit{N. Arakelian} and \textit{P. Speziali}, Math. Z. 299, No. 3--4, 2005--2028 (2021; Zbl 1522.14042) Full Text: DOI arXiv
Arakelian, Nazar; Borges, Herivelto; Speziali, Pietro The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines. (English) Zbl 1473.11134 Finite Fields Appl. 73, Article ID 101842, 19 p. (2021). MSC: 11G20 14H05 14H50 PDFBibTeX XMLCite \textit{N. Arakelian} et al., Finite Fields Appl. 73, Article ID 101842, 19 p. (2021; Zbl 1473.11134) Full Text: DOI arXiv
Arakelian, Nazar Separable degree of the Gauss map and strict dual curves over finite fields. (English) Zbl 1469.14076 Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 135-148 (2021). Reviewer: Nikolai L. Manev (Sofia) MSC: 14Hxx 11G20 PDFBibTeX XMLCite \textit{N. Arakelian}, Bull. Braz. Math. Soc. (N.S.) 52, No. 1, 135--148 (2021; Zbl 1469.14076) Full Text: DOI arXiv
Arakelian, Nazar; Borges, Herivelto Bounds for the number of points on curves over finite fields. (English) Zbl 1456.11113 Isr. J. Math. 228, No. 1, 177-199 (2018). MSC: 11G20 14H50 PDFBibTeX XMLCite \textit{N. Arakelian} and \textit{H. Borges}, Isr. J. Math. 228, No. 1, 177--199 (2018; Zbl 1456.11113) Full Text: DOI arXiv
Arakelian, Nazar; Tafazolian, Saeed; Torres, Fernando On the spectrum for the genera of maximal curves over small fields. (English) Zbl 1414.94949 Adv. Math. Commun. 12, No. 1, 143-149 (2018). MSC: 94B27 11G20 14G15 14H25 PDFBibTeX XMLCite \textit{N. Arakelian} et al., Adv. Math. Commun. 12, No. 1, 143--149 (2018; Zbl 1414.94949) Full Text: DOI arXiv
Arakelian, Nazar Number of rational branches of a singular plane curve over a finite field. (English) Zbl 1398.11097 Finite Fields Appl. 48, 87-102 (2017). MSC: 11G20 14H05 14H50 PDFBibTeX XMLCite \textit{N. Arakelian}, Finite Fields Appl. 48, 87--102 (2017; Zbl 1398.11097) Full Text: DOI arXiv
Arakelian, Nazar; Borges, Herivelto Frobenius nonclassicality of Fermat curves with respect to cubics. (English) Zbl 1430.11089 Isr. J. Math. 218, 273-297 (2017). MSC: 11G20 14H50 14H52 PDFBibTeX XMLCite \textit{N. Arakelian} and \textit{H. Borges}, Isr. J. Math. 218, 273--297 (2017; Zbl 1430.11089) Full Text: DOI arXiv
Arakelian, Nazar; Korchmáros, Gábor A characterization of the Artin-Mumford curve. (English) Zbl 1365.14032 J. Number Theory 154, 278-291 (2015). Reviewer: Jeroen Sijsling (Ulm) MSC: 14G15 14H37 14H45 PDFBibTeX XMLCite \textit{N. Arakelian} and \textit{G. Korchmáros}, J. Number Theory 154, 278--291 (2015; Zbl 1365.14032) Full Text: DOI arXiv
Arakelian, Nazar; Borges, Herivelto Frobenius nonclassicality with respect to linear systems of curves of arbitrary degree. (English) Zbl 1379.11067 Acta Arith. 167, No. 1, 43-66 (2015). MSC: 11G20 14G15 PDFBibTeX XMLCite \textit{N. Arakelian} and \textit{H. Borges}, Acta Arith. 167, No. 1, 43--66 (2015; Zbl 1379.11067) Full Text: DOI arXiv