By J. L. Brylinski (auth.), José Manuel Aroca, Ragnar Buchweitz, Marc Giusti, Michel Merle (eds.)

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Additional info for Algebraic Geometry: Proceedings of the International Conference on Algebraic Geometry Held at La Rábida, Spain, January 7–15, 1981

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Mology in the Hodge t h e o r y Poincar~ with metric, degenerating Annals of Math. coefficients 10 9 ( 1 9 7 9 ) , : L2 e o h o p. C e n t r e de M a t h d m a t i q n e s Ecole Polytechnique Plateau de P a l a i s e a u F-91128 (France) PALAISEAU C e d e x 415-476. ON P R O J E C T I O N S by A. OF Carnpillo SPACE (~) (~)Departamento and ALGEBROID J. de A l g e b r a CURVES Castellanos (~) y Fundamentos. Universidad de V a l l a d o l i d . (~) Departamento de A l g e b r a Complutense y Fundamentos.

1 ) . to role the in the point of I say the finitely t h r o u 9 h O. w i t h is of Th u s simple neighbourhoods choose Noether's V1(0) neighbourhood that 0 abstraction we i-th succession branches by way a Si branch of the of also Conversely~ class near they Y will We I infinitely No 9oes is curve neighbourhood 0 neighbourhood neighbourhood. belongs of contains. , of (i-1)-th points which y with the performing in on exceptional as the near surface branch the neighbourhood S by point points The p o i n t s in a infinitely blow-up al9ebroid of from be I of on S.

In points identified defines points way the matter wich branches~ each play on a points fundamental as s t r e s s e d in are is a in to. of of We 0 will centered that O. on a many S. be I an multiplicity n. i a point by each infinitely near 9o each that determined that first let say is I of Io e r o r d e r . and is the I and its of the infinitely point through can it~ be which (See W . 1 ) . to role the in the point of I say the finitely t h r o u 9 h O. w i t h is of Th u s simple neighbourhoods choose Noether's V1(0) neighbourhood that 0 abstraction we i-th succession branches by way a Si branch of the of also Conversely~ class near they Y will We I infinitely No 9oes is curve neighbourhood 0 neighbourhood neighbourhood.

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