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Fujiki class C : ウィキペディア英語版 | Fujiki class C In algebraic geometry, a complex manifold is called Fujiki class C if it is bimeromorphic to a compact Kähler manifold. This notion was defined by Akira Fujiki.〔A. Fujiki, ''"On Automorphism Groups of Compact Kähler Manifolds,"'' Inv. Math. 44 (1978) 225-258. 〕 == Properties ==
Let ''M'' be a compact manifold of Fujiki class C, and its complex subvariety. Then ''X'' is also in Fujiki class C (,〔A. Fujiki, ''Closedness of the Douady spaces of compact Kahler spaces'', Publ. Res. Inst. Math. Sci. 14 (1978/79), no. 1, 1--52.〕 Lemma 4.6). Moreover, the Douady space of ''X'' (that is, the moduli of deformations of a subvariety , ''M'' fixed) is compact and in Fujiki class C.〔A. Fujiki, ''On the Douady space of a compact complex space in the category C.'' Nagoya Math. J. 85 (1982), 189--211.〕
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Fujiki class C」の詳細全文を読む
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