Blowing-ups along exceptional curves


Abstract in English

Let X be a 3-dimensional complex manifold(variety) , C ⊆ X an exceptional curve. We prove that 1 1 C ⊆ X is also an exceptional curve,where 1 C is a negative section corresponding to the exact sequence of And C I is an C O -ideal.

References used

(Alwadi,Y.” Simple and quasi-homogeneus singngulenities” Journal of Damascus University for Basic sciences (2002
Ando,T. “on the normal of the isolated Ip1”, preprint 1987
Artin,M. “Algebraization of formal moduli II; Existence of formal modificatcatons” ,Ann. of Math . 91 (1970) ,88-135

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