Nazar Arakelian

activity

20152020

collaborators

4 papers

math.AG2020

Algebraic curves with automorphism groups of large prime order

Nazar Arakelian, Pietro Speziali

Let $X$ be an algebraic curve of genus $g$ defined over an algebraically closed field $K$ of characteristic $p \geq 0$ , and $q$ a prime dividing $|\mbox{Aut}(\mathcal{X})…

math.AG2019

Separable degree of the Gauss map and strict dual curves over finite fields

Nazar Arakelian

Let $X$ be a projective algebraic curve and denote by $X^{^{'}}$ its strict dual curve. The map $γ : X ⟶ X^{^{'}}$ is called (strict)…

math.AG2018

The Hurwitz curve over a finite field and its Weierstrass points for the morphism of lines

Nazar Arakelian, Herivelto Borges, Pietro Speziali

For any smooth Hurwitz curve $H_{n} : X Y^{n} + Y Z^{n} + X^{n} Z = 0$ over the finite field $F_{p}$ , an explict description of its Weierstrass points for the morphism of lines…

math.AG2015

Frobenius nonclassicality of Fermat curves with respect to cubics

Nazar Arakelian, Herivelto Borges

For Fermat curves $F : a X^{n} + b Y^{n} = Z^{n}$ defined over $F_{q}$ , we establish necessary and sufficient conditions for $F$ to be $F_{q}$ -Frobenius nonclas…