2026-06-08T08:51:14Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/532682023-09-07T16:30:52Zcom_20.500.14352_14col_20.500.14352_21
Docta Complutense
author
Artal Bartolo, Enrique
author
Carmona Ruber, Jorge
author
Cogolludo Agustín, José Ignacio
author
Marco Buzunáriz, Miguel ángel
editor
Izumiya, Shyuichi
2023-06-20T13:39:42Z
2023-06-20T13:39:42Z
2006
9784931469327
https://hdl.handle.net/20.500.14352/53268
http://www.mathbooks.org/aspm/aspm43/aspm43.pdf
http://arxiv.org/pdf/math/0403543v1.pdf
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.
eng
Invariants of combinatorial line arrangements and Rybnikov's example
book part
URL
https://docta.ucm.es/bitstreams/c3f9f645-81f7-4d06-87a9-7f5e05e3901d/download
File
MD5
a72f3808b31ea1c1e009c7cbe2c8a4b9
341128
application/pdf
Carmona02libre.pdf