Geodesic
Complex Tori, Theta Groups and Their Jordan Properties
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra, number theory, and algebraic geometry, Tome 307 (2019), pp. 32-62

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We prove that an analog 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.
Keywords: complex tori, theta groups, Jordan properties. 
@article{TM_2019_307_a1,
     author = {Yuri G. Zarhin},
     title = {Complex {Tori,} {Theta} {Groups} and {Their} {Jordan} {Properties}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {32--62},
     publisher = {mathdoc},
     volume = {307},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2019_307_a1/}
}
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Yuri G. Zarhin. Complex Tori, Theta Groups and Their Jordan Properties. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Algebra, number theory, and algebraic geometry, Tome 307 (2019), pp. 32-62. http://geodesic.mathdoc.fr/item/TM_2019_307_a1/