{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,12]],"date-time":"2023-08-12T04:03:09Z","timestamp":1691812989853},"reference-count":21,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"name":"National Science Centre, Poland","award":["UMO-2018\/30\/M\/ST1\/00668"],"award-info":[{"award-number":["UMO-2018\/30\/M\/ST1\/00668"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2023,8]]},"abstract":"<jats:p> Let [Formula: see text] be a graph manifold containing a single JSJ torus [Formula: see text] and whose JSJ blocks are of the form [Formula: see text], where [Formula: see text] is a compact orientable surface with boundary. We show that if [Formula: see text] does not admit a Riemannian metric of everywhere nonpositive sectional curvature, then there is an essential curve on [Formula: see text] such that any finite-dimensional linear representation of [Formula: see text] maps an element representing that curve to a matrix all of whose eigenvalues are roots of [Formula: see text]. In particular, this shows that [Formula: see text] does not admit a faithful finite-dimensional unitary representation, and gives a new proof that [Formula: see text] is not linear over any field of positive characteristic. <\/jats:p>","DOI":"10.1142\/s0218196723500455","type":"journal-article","created":{"date-parts":[[2023,6,19]],"date-time":"2023-06-19T06:11:31Z","timestamp":1687155091000},"page":"1037-1054","source":"Crossref","is-referenced-by-count":0,"title":["Virtually unipotent curves in some non-NPC graph manifolds"],"prefix":"10.1142","volume":"33","author":[{"given":"Sami","family":"Douba","sequence":"first","affiliation":[{"name":"Institut des Hautes \u00c9tudes Scientifiques, 35 Route de Chartres, 91440 Bures-sur-Yvette, France"}]}],"member":"219","published-online":{"date-parts":[[2023,7,10]]},"reference":[{"issue":"1058","key":"S0218196723500455BIB001","first-page":"viii+100","volume":"225","author":"Aschenbrenner M.","year":"2013","journal-title":"Mem. Amer. Math. 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