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Conditions de régularité et éclatements

Jean-Pierre Henry, Michel Merle (1987)

Annales de l'institut Fourier

On décrit trois types de conditions permettant de stratifier un morphisme analytique complexe f  :1) différentielles, à la Thom-Whitney,2) géométriques, demandant l’équidimensionnalité de certains diviseurs exceptionnels obtenus à partir de l’espace conormal relatif ou de la modification de Nash relative de f ,3) numériques, exigeant la constance d’invariants de f le long des states.On donne une méthode générale permettant d’exprimer et de démontrer des équivalences entre des conditions de chaque...

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