Let *V* be a cubic surface defined by the equation *T_0^3+T_1^3+T_2^3+\theta T_0^3=0* over a quadratic extension of 3-adic numbers *k=\mathbb{Q}_3(\theta)*, where *\theta^3=1*. We show that a relation on a set of geometric k-points on *V* modulo *(1-\theta)^3* (in a ring of integers of *k*) defines an admissible relation and a... Show more

December 21, 2022

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An example of a non-associative Moufang loop of point classes on a cubic surface

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