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Algebraic Elements of the Cremona Groups

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From Classical to Modern Algebraic Geometry

Part of the book series: Trends in the History of Science ((TRENDSHISTORYSCIENCE))

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Abstract

This article studies algebraic elements of the Cremona group. In particular, we show that the set of all these elements is a countable union of closed subsets but it is not closed.

The author acknowledges support by the Swiss National Science Foundation Grant “Birational Geometry” PP00P2_153026.

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Correspondence to Jérémy Blanc .

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© 2016 Springer International Publishing Switzerland

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Blanc, J. (2016). Algebraic Elements of the Cremona Groups. In: Casnati, G., Conte, A., Gatto, L., Giacardi, L., Marchisio, M., Verra, A. (eds) From Classical to Modern Algebraic Geometry. Trends in the History of Science. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-32994-9_7

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