On the Cremona contractibility of unions of lines in the plane

Alberto Calabri; Ciro Ciliberto

doi:10.1215/21562261-3759513

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Home > Journals > Kyoto J. Math. > Volume 57 > Issue 1 > Article

April 2017 On the Cremona contractibility of unions of lines in the plane

Alberto Calabri, Ciro Ciliberto

Kyoto J. Math. 57(1): 55-78 (April 2017). DOI: 10.1215/21562261-3759513

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Abstract

We discuss the concept of Cremona contractible plane curves, with a historical account on the development of this subject. Then we classify Cremona contractible unions of $d\geq 12$ lines in the plane.

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Alberto Calabri. Ciro Ciliberto. "On the Cremona contractibility of unions of lines in the plane." Kyoto J. Math. 57 (1) 55 - 78, April 2017. https://doi.org/10.1215/21562261-3759513

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Received: 30 March 2015; Revised: 30 November 2015; Accepted: 3 December 2015; Published: April 2017

First available in Project Euclid: 11 March 2017

zbMATH: 06705667

MathSciNet: MR3621779

Digital Object Identifier: 10.1215/21562261-3759513

Subjects:

Primary: 14H50

Secondary: 14E07 , 14N20

Keywords: contractible plane curves , log-Kodaira dimension , union of lines

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Kyoto J. Math.

Vol.57 • No. 1 • April 2017

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Alberto Calabri, Ciro Ciliberto "On the Cremona contractibility of unions of lines in the plane," Kyoto Journal of Mathematics, Kyoto J. Math. 57(1), 55-78, (April 2017)

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