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- W2346254705 abstract "In this note we show that there are no real configurations of $dgeq 4$ lines in the projective plane such that the associated Kummer covers of order $3^{d-1}$ are ball-quotients and there are no configurations of $dgeq 4$ lines such that the Kummer covers of order $4^{d-1}$ are ball-quotients. Moreover, we show that there exists only one configuration of real lines such that the associated Kummer cover of order $5^{d-1}$ is a ball-quotient. In the second part we consider the so-called topological $(n_{k})$-configurations and we show, using Shnurnikov's inequality, that for $n < 27$ there do not exist $(n_{5})$-configurations and and for $n < 41$ there do not exist $(n_{6})$-configurations." @default.
- W2346254705 created "2016-06-24" @default.
- W2346254705 creator A5061897290 @default.
- W2346254705 creator A5063987912 @default.
- W2346254705 date "2016-05-03" @default.
- W2346254705 modified "2023-10-01" @default.
- W2346254705 title "On line and pseudoline configurations and ball-quotients" @default.
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- W2346254705 hasPublicationYear "2016" @default.
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