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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeNov 3rd 2018

a stub, just to finally make that link at compactification work

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeNov 5th 2018

added pointer to

• Corrado de Concini, Claudio Procesi, Wonderful models of subspace arrangements, Selecta Mathematica, New Series Vol. 1, No. 3, 1995 (pdf)

• Eva Maria Feichner, De Concini–Procesi Wonderful Arrangement Models: A Discrete Geometer’s Point of View, Math. Sci. Res. Inst. Publ 52, 2005 (pdf)

(According to mechanical string search for “wonderful” in these articles, neither of them ever mentions that “wonderful” is used here as a technical term, and how. Isn’t that a little bizarre?)

• CommentRowNumber3.
• CommentAuthorDavid_Corfield
• CommentTimeNov 5th 2018

Yes, odd.

Is Wikipedia general enough?

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.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeNov 5th 2018
• (edited Nov 5th 2018)

Not sure how this relates. Strangely, the Wikipedia article doesn’t even mention that other article by De Concini–Procesi, the one mentioned in #2 above, which actually talks about being “wonderful”. In that other article there is, a priori, no group action at all.

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