RT Book, Section T1 Invariants of combinatorial line arrangements and Rybnikov's example A1 Artal Bartolo, Enrique A1 Carmona Ruber, Jorge A1 Cogolludo Agustín, José Ignacio A1 Marco Buzunáriz, Miguel ángel A2 Izumiya, Shyuichi AB Following the general strategy proposed by G.Rybnikov, we present a proof of his well-known result, that is, the existence of two arrangements of lines having the same combinatorial type, but nonisomorphic fundamental groups. To do so, the Alexander Invariant and certain invariants of combinatorial line arrangements are presented and developed for combinatorics with only double and triple points. This is part of a more general project to better understandthe relationship between topology and combinatorics of line arrangements. PB Mathematical Society of Japan SN 9784931469327 YR 2006 FD 2006 LK https://hdl.handle.net/20.500.14352/53268 UL https://hdl.handle.net/20.500.14352/53268 LA eng DS Docta Complutense RD 8 jun 2026