Theta groups and products of abelian and rational varieties
classification
🧮 math.AG
math.GR
keywords
groupsproductsabeliananalogueanswerarxivautomorphismsbirational
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We prove that an analogue of Jordan's theorem on finite subgroups of general linear groups does not hold for the groups of birational automorphisms of products of an elliptic curve and the projective line. This gives a negative answer to a question of V. L. Popov, arXiv:1001.1311 [math.AG].
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