Vladimir L. Popov

activity

20232025

most citedRational differential forms on the variety of flexes of plane cubics

5 citations · 6 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2025

Ideal of the variety of flexes of plane cubics

Vladimir L. Popov

We prove that the variety of flexes of algebraic curves of degree $3$ in the projective plane is an ideal theoretic complete intersection in the product of a two-dimensional and a…

math.AG2024★ 1 cited

The variety of flexes of plane cubics

Vladimir L. Popov

Let $X$ be the variety of flexes of plane cubics. We prove that (1) $X$ is an irreducible rational algebraic variety endowed with a faithful algebraic action of $PSL_{3}$ ; (2)…

math.AG2023★ 5 cited

Rational differential forms on the variety of flexes of plane cubics

Vladimir L. Popov

We prove that for every positive integer $d$ , there are no nonzero regular differential $d$ -forms on every smooth irreducible projective algebraic variety birationally isomorphic t…