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Combinatorial data of a free arrangement and the Terao conjecture by Cong, Tran Quoc is a scholarly article available to read on EtoBox.
What is Combinatorial data of a free arrangement and the Terao conjecture about?
We present a combinatorial structure of generators of $D(\mathcal{A}).$ This structure permits us to detect the relationship between the combinatorial determined property and the singularity of vector field. Consequently, by using only combinatorial data, we have a basis of the module in free case and that yields a proof for the Terao's conjecture. We also verify the example of Ziegler and give a sufficient condition on combinatorial determined property of generators.
- Author
- Cong, Tran Quoc
- Published
- 2013
- Language
- EN