Geodesic
Real line arrangements with the Hirzebruch property
Panov, Dmitri1
1 Department of Mathematics, King’s College London, London, United Kingdom
Geometry & topology, Tome 22 (2018) no. 5, pp. 2697-2711.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

A line arrangement of 3n lines in ℂP2 satisfies the Hirzebruch property if each line intersect others in n + 1 points. Hirzebruch asked in 1985 if all such arrangements are related to finite complex reflection groups. We give a positive answer to this question in the case when the line arrangement in ℂP2 is real, confirming that there exist exactly four such arrangements.

DOI : 10.2140/gt.2018.22.2697
Classification : 14N20, 32S22, 51F15, 52B70, 53C55, 20F55, 32Q15
Keywords: line arrangements, complex reflection groups, polyhedral manifolds, Kähler metrics

Panov, Dmitri 1

1 Department of Mathematics, King’s College London, London, United Kingdom 
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Panov, Dmitri. Real line arrangements with the Hirzebruch property. Geometry & topology, Tome 22 (2018) no. 5, pp. 2697-2711. doi : 10.2140/gt.2018.22.2697. http://geodesic.mathdoc.fr/articles/10.2140/gt.2018.22.2697/

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