科研之友
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摘要
We characterize when an ideal of the algebra A(R-d) of real analytic functions on R-d which is determined by the germ at R-d of a complex analytic set V is complemented under the assumption that either V is homogeneous or V boolean AND R-d is compact. The characterization is given in terms of properties of the real singularities of V. In particular, for an arbitrary complex analytic variety V complementedness of the corresponding ideal in A(R-d) implies that the real part of V is coherent. We also describe the closed ideals of A(R-d) as sections of coherent sheaves.
- 出版日期2010-6
