Some examples related to the Deligne-Simpson problem

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dc.creatorKostov, Vladimir Petrov
dc.date2000-11-02
dc.date.accessioned2026-07-07T04:38:26Z
dc.date.available2026-07-07T04:38:26Z
dc.descriptionWe consider the variety of $(p+1)$-tuples of matrices $M_j$ from given conjugacy classes from $GL(n,{\bf C})$ such that $M_1... M_{p+1}=I$. This variety is connected with the Deligne-Simpson problem and the matrices $M_j$ are interpreted as monodromy operators of regular systems on Riemann's sphere. We consider among others cases when the dimension of the variety is higher than the expected one due to the presence of $(p+1)$-tuples with non-trivial centralizers.
dc.descriptionTo appear in the proceedings of the Second International Confer ence on Geometry, Integrability and Quantization
dc.identifierhttps://arxiv.org/abs/math/0011015
dc.identifierhttp://arxiv.org/abs/math/0011015
dc.identifierProc2ndIntConfGeomIntQuant, Coral Press (2001) 208-227
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60274
dc.subjectAlgebraic Geometry
dc.titleSome examples related to the Deligne-Simpson problem
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