2026-06-08T09:11:35Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/532682023-09-07T16:30:52Zcom_20.500.14352_14col_20.500.14352_21

Invariants of combinatorial line arrangements and Rybnikov's example Artal Bartolo, Enrique Carmona Ruber, Jorge Cogolludo Agustín, José Ignacio Marco Buzunáriz, Miguel ángel Izumiya, Shyuichi 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 understand the relationship between topology and combinatorics of line arrangements. 2023-06-20T13:39:42Z 2023-06-20T13:39:42Z 2023-06-20T13:39:42Z 2006 book part https://hdl.handle.net/20.500.14352/53268 XXXX-XXXX eng Advanced studies in pure mathematics BFM2001-1488-C02-01 BFM2001-1488-C02-02. open access Mathematical Society of Japan