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On pairs, triples and quadruples of points on a cubic surface
- Publication Year :
- 2018
-
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 $X^{(3)}$.<br />Comment: English and Russian versions, 2 pages each. v1: Article in Russian, v2: English translation, v3: added Afterword on page 2 (only in English). Comments welcome!
Details
- Language :
- Russian
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1810.07001
- Document Type :
- Working Paper