A Contribution to the Theory of Formal Meromorphic Functions
نویسنده
چکیده
In my paper [F3] I more or less explicitly conjectured that if A is a complete local integral domain with maximal ideal m and if I = (tί9 , tn) is an ideal in A with n < dim (A) — 2, then Spec (A/7) — m is G3 in Spec (A) — m. This will be proved in this paper. Unfortunately the algebraisation-theorems for subsheaves in [F3] make great difficulties in this context, and I only can prove similar theorems, where I deal not with complete local rings but with a different category which will be explained in detail later. At least our theorems are sufficient to deal with projective varieties. As corollary I obtain for example a strong generalisation of the G3theorems in [S]. This work was supported by the Deutsche Forschungsgemeinschaft.
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تاریخ انتشار 2004