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arXiv · 2401.15735

Groups acting on cubic surfaces in characteristic zero

Jonathan M. Smith
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Abstract

For every field $k$ of characteristic zero, we determine the groups that act as automorphisms on a smooth cubic surface over $k$. We also determine the groups that act on $k$-rational, stably $k$-rational, or $k$-unirational smooth cubic surfaces.

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Jonathan M. Smith. 2024-01-28. Groups acting on cubic surfaces in characteristic zero. https://arxiv.org/abs/2401.15735

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