Fundamental group for the complement of the Cayley's singularities

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dc.creatorAmram, M.
dc.creatorDettweiler, M.
dc.creatorFriedman, M.
dc.creatorTeicher, M.
dc.date2008-03-20
dc.date2008-12-22
dc.date.accessioned2026-07-07T12:20:43Z
dc.date.available2026-07-07T12:20:43Z
dc.descriptionGiven a singular surface X, one can extract information on it by investigating the fundamental group $π_1(X - Sing_X)$. However, calculation of this group is non-trivial, but it can be simplified if a certain invariant of the branch curve of X - called the braid monodromy factorization - is known. This paper shows, taking the Cayley cubic as an example, how this fundamental group can be computed by using braid monodromy techniques and their liftings. This is one of the first examples that uses these techniques to calculate this sort of fundamental group.
dc.description4 figures
dc.identifierhttps://arxiv.org/abs/0803.3005
dc.identifierhttp://arxiv.org/abs/0803.3005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213147
dc.subjectAlgebraic Geometry
dc.subject14B05, 14E20, 14H30, 14Q10
dc.titleFundamental group for the complement of the Cayley's singularities
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