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

By Dimitri Kanevsky
Let VV be a cubic surface defined by the equation T03+T13+T23+θT03=0T_0^3+T_1^3+T_2^3+\theta T_0^3=0 over a quadratic extension of 3-adic numbers k=Q3(θ)k=\mathbb{Q}_3(\theta), where θ3=1\theta^3=1. We show that a relation on a set of geometric k-points on VV modulo (1θ)3(1-\theta)^3 (in a ring of integers of kk) 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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