Nazar Arakelian

activity

20142026

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Showing 2016Show all

4 papers · 1 filter

math.NT2016

Number of rational branches of a plane singular curve over a finite field

Nazar Arakelian

Let $F$ be a plane singular curve defined over a finite field $F_{q}$ . The linear system of plane curves of a given degree passing through the singularities of $\c…

math.AG2016

On the spectrum for the genera of maximal curves over small fields

Nazar Arakelian, Saeed Tafazolian, Fernando Torres

Motivated by previous computations in Garcia, Stichtenoth and Xing (2000) paper ,we discuss the spectrum $M (q^{2})$ for the genera of maximal curves over finite fields of or…

math.AG2016

Bounds for the number of points on curves over finite fields

Nazar Arakelian, Herivelto Borges

Let $X$ be a projective irreducible nonsingular algebraic curve defined over a finite field $F_{q}$ . This paper presents a variation of the Störh-Voloch theory and…

math.AG2016

On generalizations of Fermat curves over finite fields and their automorphisms

Nazar Arakelian, Pietro Speziali

Let $X$ be an irreducible algebraic curve defined over a finite field $F_{q}$ of characteristic $p > 2$ . Assume that the $F_{q}$ -automorphism group of $\mathc…