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On line and pseudoline configurations an...
Bokowski, Jürgen...

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On line and pseudoline configurations and ball-quotients by Bokowski, Jürgen ( Author )
Lemonjar Open Access
N.A
03-05-2016
In this note we show that there are no real configurations of d≥4 lines in the projective plane such that the associated Kummer covers of order 3d−1 are ball-quotients and there are no configurations of d≥4 lines such that the Kummer covers of order 4d−1 are ball-quotients. Moreover, we show that there exists only one configuration of real lines such that the associated Kummer cover of order 5d−1 is a ball-quotient. In the second part we consider the so-called topological (nk)-configurations and we show, using Shnurnikov's inequality, that for n<27 there do not exist (n5)-configurations and and for n<41 there do not exist (n6)-configurations.
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Article
pdf
36.88 KB
English
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MYR 0.01
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https://arxiv.org/abs/1605.00757
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