Wonderful compactification of an arrangement of subvarieties
Algebraic Geometry
2019-11-01 v2
Abstract
We define the wonderful compactification of an arrangement of subvarieties. Given a complex nonsingular algebraic variety and certain collection of subvarieties of , the wonderful compactification can be constructed by a sequence of blow-ups of along the subvarieties of the arrangement. This generalizes the Fulton-MacPherson configuration spaces and the wonderful models given by De Concini and Procesi. We give a condition on the order of blow-ups in the construction of such that each blow-up is along a nonsingular center.
Keywords
Cite
@article{arxiv.math/0611412,
title = {Wonderful compactification of an arrangement of subvarieties},
author = {Li Li},
journal= {arXiv preprint arXiv:math/0611412},
year = {2019}
}
Comments
30 pages, presentation is improved, to appear in the Michigan Mathematical Journal