Fibers of tropicalization

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dc.creatorPayne, Sam
dc.date2007-05-14
dc.date2008-05-10
dc.date.accessioned2026-07-07T13:07:25Z
dc.date.available2026-07-07T13:07:25Z
dc.descriptionWe use functoriality of tropicalization and the geometry of projections of subvarieties of tori to show that the fibers of the tropicalization map are dense in the Zariski topology. For subvarieties of tori over fields of generalized power series, points in each tropical fiber are obtained "constructively" using Kedlaya's transfinite version of Newton's method.
dc.description11 pages. v2: added footnote explaining gap in earlier proofs of surjectivity of tropicalization, other minor changes. To appear in Math. Z
dc.identifierhttps://arxiv.org/abs/0705.1732
dc.identifierhttp://arxiv.org/abs/0705.1732
dc.identifierMath. Z. 262 (2009), no. 2, 301--311.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228082
dc.subjectAlgebraic Geometry
dc.subject12J25, 16W60, 14G22
dc.titleFibers of tropicalization
dc.typetext

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