We use some results about Betti numbers of coverings of complements of plane projective curves to discuss the problem of how combinatories determine the topology of line arrangement, finding a counterexample to a conjecture of Orlik.
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Univ Tokyo, Grad Sch Engn, Dept Math Engn & Informat Phys, Tokyo 1138656, JapanUniv Tokyo, Grad Sch Engn, Dept Math Engn & Informat Phys, Tokyo 1138656, Japan
Fogaras, D
Sugihara, K
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Univ Tokyo, Grad Sch Engn, Dept Math Engn & Informat Phys, Tokyo 1138656, JapanUniv Tokyo, Grad Sch Engn, Dept Math Engn & Informat Phys, Tokyo 1138656, Japan