A Representation Theorem for Generic Line Arrangements in the Plane

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Authors

  • C.P. Anil Kumar
     Center for Study of Science, Technology and Policy, # 18 & #19, 10th Cross, Mayura Street, Papanna Layout, Nagashettyhalli, RMV II Stage, Bengaluru - 560094 ,IN

DOI:

https://doi.org/10.18311/jims/2020/24873

Keywords:

Ordered Fields, Line Arrangements in the Plane, Combinatorial Cycle Invariants, Elementary Collineation Transformation, Global Cyclicity, Concurrency Arrangement

Abstract

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.

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Published

2020-05-15

How to Cite

Anil Kumar, C. (2020). A Representation Theorem for Generic Line Arrangements in the Plane. The Journal of the Indian Mathematical Society, 87(1-2), 96–113. https://doi.org/10.18311/jims/2020/24873

Issue

Volume 87, Issue 1-2, January-June 2020

Section

Articles

License

Copyright (c) 2020 C.P. Anil Kumar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Received 2020-02-07
Accepted 2020-04-10
Published 2020-05-15

 

References

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