Holomorphic self-maps of singular rational surfaces
Favre, Charles
Publ. Mat., Tome 54 (2010) no. 2, p. 389-432 / Harvested from Project Euclid
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We give a new proof of the classification of normal singular surface germs admitting non-invertible holomorphic self-maps and due to J. Wahl. We then draw an analogy between the birational classification of singular holomorphic foliations on surfaces, and the dynamics of holomorphic maps. Following this analogy, we introduce the notion of minimal holomorphic model for holomorphic maps. We give sufficient conditions which ensure the uniqueness of such a model.
Publié le : 2010-05-15
Classification:  Rational maps,  dynamics,  surface singularity,  valuation space,  14J17,  32H02 
@article{1277731539,
     author = {Favre, Charles},
     title = {Holomorphic self-maps of singular rational surfaces},
     journal = {Publ. Mat.},
     volume = {54},
     number = {2},
     year = {2010},
     pages = { 389-432},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277731539}
}

Favre, Charles. Holomorphic self-maps of singular rational surfaces. Publ. Mat., Tome 54 (2010) no. 2, pp.  389-432. http://gdmltest.u-ga.fr/item/1277731539/