On Maps Taking Lines to Plane Curves

On Maps Taking Lines to Plane Curves

We study cubic rational maps that take lines to plane curves. A complete description of such cubic rational maps concludes the classification of all planarizations, i.e., maps taking lines to plane curves.

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Veröffentlicht in:Arnold mathematical journal 2016-03, Vol.2 (1), p.1-20
Hauptverfasser: Petrushchenko, Vsevolod, Timorin, Vladlen
Format: Artikel
Sprache:eng
Schlagworte:
Curves
Mathematics
Mathematics and Statistics
Research Contribution
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Beschreibung
Zusammenfassung:We study cubic rational maps that take lines to plane curves. A complete description of such cubic rational maps concludes the classification of all planarizations, i.e., maps taking lines to plane curves.
ISSN:2199-6792
2199-6806
DOI:10.1007/s40598-015-0027-1