D. Voskanyan

activity

20192021

most citedOn plane algebraic curves passing through

n

-independent nodes

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.AG2021★ 1 cited

On plane algebraic curves passing through $n$ -independent nodes

Hakop Hakopian, Harutyun Kloyan, Davit Voskanyan

Let a set of nodes $X$ in the plane be $n$ -independent, i.e., each node has a fundamental polynomial of degree $n .$ Assume that $\#\mathcal X=d(n,k-3)+3= (n+1)+n+\cdots+(n…

math.AG2020

On a scale of criteria on $n$ -dependence

Davit Voskanyan

In this paper we prove that a planar set $X$ of at most $mn - 1$ points, where $m \leq n$ , is $κ$ -dependent, if and only if there exists a number r, $1 \leq r \leq m - 1$ , and a…

math.AG2019

On the intersection points of two plane algebraic curves

Hakop Hakopian, Davit Voskanyan

We prove that a set $X \subset C^{2}, # X = mn, m \leq n,$ is the set of intersection points of some two plane algebraic curves of degrees $m$ and $n,$ res…

On plane algebraic curves passing through n-independent nodes

On a scale of criteria on n-dependence

On the intersection points of two plane algebraic curves

On plane algebraic curves passing through $n$ -independent nodes

On a scale of criteria on $n$ -dependence