2 citations · 2 across the 2 of their papers we have counts for
4 papers
A nonhausdorff model for the complement of a complexified arrangement
Nicholas J. Proudfoot
Given a hyperplane arrangement A in a real vector space, we introduce a real algebraic prevariety Z(A), and exhibit the complement of the complexification of A as the total space o…
Geometric invariant theory and projective toric varieties
Nicholas J. Proudfoot
This is an expository paper in which we define projective GIT quotients and introduce toric varieties from this perspective. It is intended primarily for readers who are learning e…
A Broken Circuit Ring
Nicholas J. Proudfoot, David E. Speyer
Given a matroid M represented by a linear subspace L in n-space (equivalently by an arrangement of n hyperplanes in L), we define a graded ring R(L) which degenerates to the Stanle…
Hyperplane arrangements and K-theory
Nicholas J. Proudfoot
We study the Z/2-equivariant K-theory of the complement of the complexification of a real hyperplane arrangement. We compute the rational K and KO rings, and give two different com…