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- W1644124007 abstract "A facet of an hyperplane arrangement is called external if it belongs to exactly one bounded cell. The set of all external facets forms the envelope of the arrangement. The number of external facets of a simple arrangement dened by n hyperplanes in dimension d is hypothesized to be at least d n 2 d 1 . In this note we show that, for simple arrangements of 4 lines or more, the minimum number of external facets is equal to 2(n 1), and for simple arrangements of 5 planes or more, the minimum number of external facets is between n(n 2)+6 3 and (n 4)(2n 3) + 5." @default.
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- W1644124007 date "2007-09-21" @default.
- W1644124007 modified "2023-09-25" @default.
- W1644124007 title "The complexity of the envelope of line and plane arrangements" @default.
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