Wonderful compactification of an arrangement of subvarieties

Details Wonderful compactification of an arrangement of subvarieties Wonderful compactification of an arrangement of subvarieties

2006-11-14

arxiv.org/abs/math/0611412v2

Mathematics

Algebraic Geometry

30 pages, presentation is improved, to appear in the Michigan Mathematical Journal

Scientific paper

We define the wonderful compactification of an arrangement of subvarieties. Given a complex nonsingular algebraic variety $Y$ and certain collection $\mathcal{G}$ of subvarieties of $Y$, the wonderful compactification $Y_\mathcal{G}$ can be constructed by a sequence of blow-ups of $Y$ 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 $Y_\mathcal{G}$ such that each blow-up is along a nonsingular center.

Affiliated with

Also associated with

No associations

Rating

Wonderful compactification of an arrangement of subvarieties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wonderful compactification of an arrangement of subvarieties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wonderful compactification of an arrangement of subvarieties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-488036