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The Higher Topological Complexity of Complement of Fiber Type Arrangement
Nguyen Viet Dung
,
Nguyen Van Ninh
Abstract
Let $\mathcal A$ be a fiber type arrangement of hyperplanes in $\mathbb C_n$ with complement $M(\mathcal A)$ (see Orlik, O., Terao, H. 1992). In this paper, we will give an explicit formula for the higher topological complexity $T C_n$ for the complement $M(\mathcal A)$ in terms of exponents of the arrangement $\mathcal A$.