By José Manuel Aroca, Ragnar Buchweitz, Marc Giusti, Michel Merle (Editors)
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J^, j~u described through 2 one in P possibilities. section change x l/n, of of x, going number a j+ I... ~C:l)a. . +i) J first the coordinate, by the under replaced by . S, Transformations. set 00 to automorphisms S at O. formal If Given denote the of will we eO choose a completion be Our purpouse the succesive act is to on referred local transformations transformations smooth study neighbourhoods of O the to x~ automorphisms branches the action o f O. by on local as coordinates are the point a Ping formal y as of transforming these algebraic of surface S at O.
Conjecture de M a t h 6 m a t i q u e s and de Equations Lecture Notes in R. : algebraic varieties, ~ points Mathematics P. : Th6orie de Hodge I I , P. : Th6orie de Hodge 2 The L - c o h o m o l o g y Publ. singuliers No 163 Math. and preprint. r6gu- (1970). de I ' I . H . E . S . , 40. Deligne, III, Publ. Math. de I ' I . H . E . S . , 44. Deligne, P. : ~D-R3 Deligne, P. et elliptiques, Notes Gabber, O. preprint, Lettre h D. K a z h d a n e t Rapoport, in Lecture Modular M. : : On t h e Tel-Aviv M.
Th J y' y' point series ~-1' corresponding is a.. c~J through series OJi' j=O, . . , which point determined~ coefficient O. which coincides the free q by a) of the that sufficient such that branch fact using the y'~ one can point Puiseux of a that (in branch Y' coincides except for choose y 0J 0 x) characteristic aj~ 0 coefficient recursivel series degree same i before of the a the goes with factor Puiseux the above described 38 b) last i ,~ O. free our Since, point series it have to the partial sum such i branches coincidence of the partial coincidence of the non-appearance of The be ]~c~.
Algebraic Geometry by José Manuel Aroca, Ragnar Buchweitz, Marc Giusti, Michel Merle (Editors)