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arXiv · 1810.07001

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

Sergey Galkin·Pavel Popov
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Abstract

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 stably birational to $X^{(3)}$.

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Sergey Galkin, Pavel Popov. 2019-04-22. On pairs, triples and quadruples of points on a cubic surface. https://arxiv.org/abs/1810.07001

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