In algebraic group theory, a wonderful compactification of a variety acted on by an algebraic group
-equivariant compactification such that the closure of each orbit is smooth.
Corrado de Concini and Claudio Procesi (1983) constructed a wonderful compactification of any symmetric variety given by a quotient
over the complex numbers, sometimes called the De Concini–Procesi compactification, and Elisabetta Strickland (1987) generalized this construction to arbitrary characteristic.
(modulo the diagonal subgroup), this gives a wonderful compactification of the group
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