On representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties

Simple item page
dc.creatorKapovich, Michael
dc.creatorMillson, John
dc.date1997-03-11
dc.date.accessioned2026-07-07T09:13:00Z
dc.date.available2026-07-07T09:13:00Z
dc.descriptionWe prove that for any affine variety S defined over Q there exist Shephard and Artin groups G such that a Zariski open subset U of S is biregular isomorphic to a Zariski open subset of the character variety Hom(G, PO(3))//PO(3). The subset U contains all real points of S . As an application we construct new examples of finitely-presented groups which are not fundamental groups of smooth complex algebraic varieties.
dc.description68 pages 15 figures
dc.identifierhttps://arxiv.org/abs/dg-ga/9703007
dc.identifierhttp://arxiv.org/abs/dg-ga/9703007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152218
dc.subjectDifferential Geometry
dc.titleOn representation varieties of Artin groups, projective arrangements and the fundamental groups of smooth complex algebraic varieties
dc.typetext

Files

Collections

arXiv