Stacks of cyclic covers of projective spaces

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dc.creatorArsie, Alessandro
dc.creatorVistoli, Angelo
dc.date2003-01-02
dc.date2003-04-07
dc.date.accessioned2026-07-07T04:54:13Z
dc.date.available2026-07-07T04:54:13Z
dc.descriptionWe define stacks of uniform cyclic covers of Brauer-Severi schemes, proving that they can be realized as quotient stacks of open subsets of representations, and compute the Picard group for the open substacks parametrizing smooth uniform cyclic covers. Moreover, we give an analogous description for stacks parametrizing triple cyclic covers of Brauer-Severi schemes of rank 1, which are not necessarily uniform, and give a presentation of the Picard group for substacks corresponding to smooth triple cyclic covers.
dc.description23 pages; some minor changes; to appear in Compositio Mathematica
dc.identifierhttps://arxiv.org/abs/math/0301008
dc.identifierhttp://arxiv.org/abs/math/0301008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66163
dc.subjectAlgebraic Geometry
dc.subject14A20; 14C22; 14D20
dc.titleStacks of cyclic covers of projective spaces
dc.typetext

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