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In algebraic group theory, a wonderful compactification of a variety acted on by an algebraic group ''G'' is a ''G''-equivariant compactification such that the closure of each orbit is smooth. constructed a wonderful compactification of any symmetric variety given by a quotient ''G''/''G''σ of an algebraic group ''G'' by the subgroup ''G''σ fixed by some involution σ of ''G'' over the complex numbers, sometimes called the De Concini–Procesi compactification, and generalized this to arbitrary characteristic. In particular, by writing a group ''G'' itself as a symmetric homogeneous space ''G''=(''G''×''G'')/''G'' (modulo the diagonal subgroup) this gives a wonderful compactification of the group ''G'' itself. ==References== * * * * 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「Wonderful compactification」の詳細全文を読む スポンサード リンク
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