Complex tori, theta groups and their Jordan properties

Yuri G. Zarhin

Complex tori, theta groups and their Jordan properties

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arxiv 1902.06184 v7 pith:WLUBAGRK submitted 2019-02-17 math.AG

Yuri G. Zarhin This is my paper · ORCID

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keywords complexgroupsjordanalgebraicanalogueautomorphismsbimeromorphicdimension

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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 group of bimeromorphic automorphisms of a product of the complex projective line and a complex torus of positive algebraic dimension.

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Fiberwise bimeromorphic maps of conic bundles
math.AG 2019-08 conditional novelty 6.0 of 10

Finite fiberwise bimeromorphic group actions on holomorphic conic bundles without degree-one divisors are always subgroups of Z/2Z times Z/2Z.

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