25 research outputs found
Holomorphic self-maps of singular rational surfaces
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.Comment: 37 pages. To appear in Publicacions Matematiques
Holomorphic self-maps of singular rational surfaces
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
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PARIS7-Bibliothèque centrale (751132105) / SudocPARIS-Observatoire (751142302) / SudocSudocFranceF
Impact des nouvelles technologies de l'information sur l'apprentissage et les compétences en entreprise
PARIS7-Bibliothèque centrale (751132105) / SudocSudocFranceF
Simulation des hydrocarbures non méthaniques légers dans la couche limite atmosphérique marine pendant les expériences Lagrangiennes d'ACE 1 et d'ASTEX/MAGE
PARIS7-Bibliothèque centrale (751132105) / SudocSudocFranceF