A KAM phenomenon for singular holomorphic vector fields
نویسندگان
چکیده
منابع مشابه
A KAM phenomenon for singular holomorphic vector fields
Let X be a germ of holomorphic vector field at the origin of C and vanishing there. We assume that X is a “nondegenerate” good perturbation of a singular completely integrable system. The latter is associated to a family of linear diagonal vector fields which is assumed to have nontrivial polynomial first integrals. We show that X admits many invariant analytic subsets in a neighborhood of the ...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 2005
ISSN: 0073-8301,1618-1913
DOI: 10.1007/s10240-005-0035-0