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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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References

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Author information

Authors and Affiliations

  1. Mathematisches Institut, Universität Basel, Spiegelgasse 1, 4051, Basel, Switzerland

    Jérémy Blanc

Authors
  1. Jérémy Blanc
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Corresponding author

Correspondence to Jérémy Blanc .

Editor information

Editors and Affiliations

  1. Dipartimento di Scienze Matematiche, Politecnico di Torino, Turin, Italy

    Gianfranco Casnati

  2. Accademia delle Scienze di Torino, Turin, Italy

    Alberto Conte

  3. Politecnico di Torino, Turin, Italy

    Letterio Gatto

  4. Dipartimento di Matematica, Università di Torino, Turin, Italy

    Livia Giacardi

  5. Dipartimento di Matematica, Università di Torino, Turin, Italy

    Marina Marchisio

  6. Dipartimento di Matematica, Università Roma Tre, Rome, Italy

    Alessandro Verra

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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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