Adelic amoebas disjoint from open halfspaces

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dc.creatorPayne, Sam
dc.date2007-06-16
dc.date2008-07-23
dc.date.accessioned2026-07-07T12:09:32Z
dc.date.available2026-07-07T12:09:32Z
dc.descriptionWe show that a conjecture of Einsiedler, Kapranov, and Lind on adelic amoebas of subvarieties of tori and their intersections with open halfspaces of complementary dimension is false for subvarieties of codimension greater than one that have degenerate projections to smaller dimensional tori. We prove a suitably modified version of the conjecture using algebraic methods, functoriality of tropicalization, and a theorem of Zhang on torsion points in subvarieties of tori.
dc.description8 pages. v2: minor typographic changes, updated references. To appear in Crelle's Journal
dc.identifierhttps://arxiv.org/abs/0706.2438
dc.identifierhttp://arxiv.org/abs/0706.2438
dc.identifierJ. reine angew. Math. 625 (2008), 115--123.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209657
dc.subjectAlgebraic Geometry
dc.subjectDynamical Systems
dc.subject11G25, 12J25, 37C85
dc.titleAdelic amoebas disjoint from open halfspaces
dc.typetext

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