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Anil Kumar, C. P.
- A Representation Theorem for Generic Line Arrangements in the Plane
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1 Center for Study of Science, Technology and Policy, # 18 & #19, 10th Cross, Mayura Street, Papanna Layout, Nagashettyhalli, RMV II Stage, Bengaluru - 560094, IN
1 Center for Study of Science, Technology and Policy, # 18 & #19, 10th Cross, Mayura Street, Papanna Layout, Nagashettyhalli, RMV II Stage, Bengaluru - 560094, IN
Source
The Journal of the Indian Mathematical Society, Vol 87, No 1-2 (2020), Pagination: 96–113Abstract
In this article, we prove a representation theorem that any generic line arrangement in the plane over an ordered field can be represented isomorphically by a very generic line arrangement in the sense of C. A. Athanasiadis [2] with a given set of distinct slopes of the same cardinality.Keywords
Ordered Fields, Line Arrangements in the Plane, Combinatorial Cycle Invariants, Elementary Collineation Transformation, Global Cyclicity, Concurrency Arrangement.
References
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