Email this article THE HIGHER TOPOLOGICAL COMPLEXITY OF A COMPLEMENT OF COMPLEX LINES ARRANGEMENT
About this article
Received: 13/03/20 Revised: 12/05/20 Published: 21/05/20Authors
1. Tran Hue Minh
, TNU – University of Education2. Nguyen Van Ninh, TNU – University of Education
Abstract
The complement of complex lines arrangement in C2 is a smooth manifold with many geometric properties v interested in studying the theory of the hyperplanes arrangement. Some geometric invariants of this manifold are combinatorial dependence, meaning they depend only on the set of intersections of lines. In this paper, we calculate the high topological complexity of the complement of the center complex lines arrangement in C2 and show the combinatorial dependence of this geometric invariant.
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