N. Vardanyan

activity

20202025

collaborators

5 papers

math.NA2025

On the usage of $2$ -node lines in $n$ -correct and $G C_{n}$ sets

Hakop Hakopian, Gagik Vardanyan, Navasard Vardanyan

An $n$ -correct set $X$ in the plane is a set of nodes admitting unique interpolation with bivariate polynomials of total degree at most $n$ . A $k$ -node line is a line pas…

math.NA2025

On maximal curves of $n$ -correct sets

H. Hakopian, G. Vardanyan, N. Vardanyan

Suppose $X$ is an $n$ -correct set of nodes in the plane, that is, it admits a unisolvent interpolation with bivariate polynomials of total degree less than or equal to $n…

math.AG2022

On the Gasca-Maeztu conjecture for $n = 6$

Hakop Hakopian, Gagik Vardanyan, Navasard Vardanyan

A two-dimensional $n$ -correct set is a set of nodes admitting unique bivariate interpolation with polynomials of total degree at most ~ $n$ . We are interested in correct sets with t…

math.AG2020

On the Noether and the Cayley-Bacharach theorems with PD multiplicities

Hakop Hakopian, Navasard Vardanyan

In this paper, we prove the Noether theorem with the multiplicities described by PD operators. Despite the known analogue versions in this case the provided conditions are necessar…

math.CO2020

On the basic properties of $G C_{n}$ sets

Hakop Hakopian, Navasard Vardanyan

A planar node set $X,$ with $# X = (2 n + 2),$ is called $G C_{n}$ set if each node possesses fundamental polynomial in form of a product of $n$ linear factors. W…

On the usage of 2-node lines in n-correct and GCn​ sets

On maximal curves of n-correct sets

On the Gasca-Maeztu conjecture for n=6

On the Noether and the Cayley-Bacharach theorems with PD multiplicities

On the basic properties of GCn​ sets

On the usage of $2$ -node lines in $n$ -correct and $G C_{n}$ sets

On maximal curves of $n$ -correct sets

On the Gasca-Maeztu conjecture for $n = 6$

On the basic properties of $G C_{n}$ sets