Pavel Popov

collaborators

2 papers

math.AG2018

Twisted cubics and quadruples of points on cubic surfaces

Pavel Popov

We study relations in the Grothendieck ring of varieties which connect the Hilbert scheme of points on a cubic hypersurface $Y$ with a certain moduli space of twisted cubic curves…

math.AG2018

On pairs, triples and quadruples of points on a cubic surface

Sergey Galkin, Pavel Popov

Let $X^{(n)}$ denote $n$ -th symmetric power of a cubic surface $X$ . We show that $X^{(4)} \times X$ is stably birational to $X^{(3)} \times X$ , despite examples when $X^{(4)}$ is not…