Smooth tropical surfaces with infinitely many tropical lines

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dc.creatorVigeland, Magnus Dehli
dc.date2007-03-22
dc.date2007-12-08
dc.date.accessioned2026-07-07T08:47:47Z
dc.date.available2026-07-07T08:47:47Z
dc.descriptionWe study the tropical lines contained in smooth tropical surfaces in R^3. On smooth tropical quadric surfaces we find two one-dimensional families of tropical lines, like in classical algebraic geometry. Unlike the classical case, however, there exist smooth tropical surfaces of any degree with infinitely many tropical lines.
dc.description27 pages, 12 figures. v2: Errors corrected, notation improved, referances added, Example 9.3 new
dc.identifierhttps://arxiv.org/abs/math/0703682
dc.identifierhttp://arxiv.org/abs/math/0703682
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143724
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.titleSmooth tropical surfaces with infinitely many tropical lines
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