Invariant curves for birational surface maps

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We 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.
18 Pages

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Algebraic Geometry, Dynamical Systems, 32H50 (Primary), 14E07, 14H45 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/75060

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505014
 http://arxiv.org/abs/math/0505014

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arXiv