The Boden-Hu conjecture holds precisely up to rank eight

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dc.creatorHoffmann, Norbert
dc.date2003-10-10
dc.date.accessioned2026-07-07T05:01:48Z
dc.date.available2026-07-07T05:01:48Z
dc.descriptionConsider moduli schemes of vector bundles over a smooth projective curve endowed with parabolic structures over a marked point. Boden and Hu observed that a slight variation of the weights leads to a desingularisation of the moduli scheme, and they conjectured that one can always obtain a small resolution this way. The present text proves this conjecture in some cases (including all bundles of rank up to eight) and gives counterexamples in all other cases (in particular in every rank beyond eight). The main tool is a generalisation of Ext-groups involving more than two quasiparabolic bundles.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0310160
dc.identifierhttp://arxiv.org/abs/math/0310160
dc.identifierMath. Ann. 330 (2004), 729 - 746
dc.identifierdoi:10.1007/s00208-004-0567-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68813
dc.subjectAlgebraic Geometry
dc.subject14H60 (Primary); 14D20 (Secondary)
dc.titleThe Boden-Hu conjecture holds precisely up to rank eight
dc.typetext

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