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On degenerations of plane Cremona transformations

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Abstract

This article studies the possible degenerations of Cremona transformations of the plane of some degree into maps of smaller degree.

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Authors and Affiliations

  1. Departement Mathematik und Informatik, Universität Basel, Spiegelgasse 1, 4051, Basel, Switzerland

    Jérémy Blanc

  2. Dipartimento di Matematica e Informatica, Università di Ferrara, Via Machiavelli 30, 44121, Ferrara, Italy

    Alberto Calabri

Authors
  1. Jérémy Blanc
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  2. Alberto Calabri
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Corresponding author

Correspondence to Alberto Calabri.

Additional information

The authors acknowledge support by the Swiss National Science Foundation Grant “Birational Geometry” PP00P2_128422 /1. The second author is member of G.N.S.A.G.A. group of Italian I.N.d.A.M. and warmly thanks Massimiliano Mella for useful discussions.

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Blanc, J., Calabri, A. On degenerations of plane Cremona transformations. Math. Z. 282, 223–245 (2016). https://doi.org/10.1007/s00209-015-1539-z

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  • DOI: https://doi.org/10.1007/s00209-015-1539-z

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