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Regular version of the site

Working paper

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

arxiv.org. math. Cornell University, 2018. No. 1810.07001.
Let X(n) denote n-th symmetric power of a cubic surface X. We show that X(4)×X is stably birational to X(3)×X, despite examples when X(4) is not stably birational to X(3).