Reference : Bad irreducible subgroups and singular locus for character varieties in PSL(p,C)
 Document type : Scientific journals : Article Discipline(s) : Physical, chemical, mathematical & earth Sciences : Mathematics To cite this reference: http://hdl.handle.net/10993/29138
 Title : Bad irreducible subgroups and singular locus for character varieties in PSL(p,C) Language : English Author, co-author : Guerin, Clément [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Publication date : Aug-2017 Journal title : Geometriae Dedicata Publisher : Springer Netherlands Peer reviewed : Yes (verified by ORBilu) Audience : International ISSN : 0046-5755 e-ISSN : 1572-9168 City : Dordrecht Country : The Netherlands Keywords : [en] Character variety ; Centralizers of irreducible representations ; Fuchsian groups representations Abstract : [en] We give the centralizers of irreducible representations from a finitely generated group $\Gamma$ to $PSL(p,\mathbb{C})$ where p is a prime number. This leads to a description of the singular locus (te (the set of conjugacy classes of representations whose centralizer strictly contains the center of the ambient group) of the irreducible part of the character variety $\chi^i(\Gamma,PSL(p,\mathbb{C}))$. When $\Gamma$ is a free group of rank $l\geq 2$ or the fundamental group of a closed Riemann surface of genus $g\geq 2$, we give a complete description of this locus and prove that this locus is exactly the set of algebraic singularities of the irreducible part of the character variety. Target : Researchers Permalink : http://hdl.handle.net/10993/29138 DOI : 10.1007/s10711-017-0275-4 Other URL : https://doi.org/10.1007/s10711-017-0275-4

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Limited access