Invariant curves for birational surface maps

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dc.creatorDiller, Jeffrey
dc.creatorJackson, Daniel
dc.creatorSommese, Andrew
dc.date2005-05-01
dc.date.accessioned2026-07-07T05:19:34Z
dc.date.available2026-07-07T05:19:34Z
dc.descriptionWe classify invariant curves for birational surface maps that are expanding on cohomology. When the expansion is exponential, the arithmetic genus of an invariant curve is at most one. This implies severe constraints on both the type and number of irreducible components of the curve. In the case of an invariant curve with genus equal to one, we show that there is an associated invariant meromorphic two form.
dc.description18 Pages
dc.identifierhttps://arxiv.org/abs/math/0505014
dc.identifierhttp://arxiv.org/abs/math/0505014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75060
dc.subjectAlgebraic Geometry
dc.subjectDynamical Systems
dc.subject32H50 (Primary), 14E07, 14H45 (Secondary)
dc.titleInvariant curves for birational surface maps
dc.typetext

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