1 citations · 2 across the 8 of their papers we have counts for
8 papers
Comments about Hilbert's 16'th problem
John Atwell Moody
Local analytic germs can be simultaneously deformed equivariantly for the flow if there is one holomorphic solution whose degree is high compared to local discrepancy.
Arc lifting for the Nash manifold
John Atwell Moody
A theorem of Functorial Affinization of Nash's manifold is proven here giving necessary and sufficient conditions to lift a holomorphic arc to the smooth locus of the Nash manifold…
Functorial affinization of Nash's manifold
John Atwell Moody
Let M be a singular irreducible complex manifold of dimension n. There are Q divisors D[-1], D[0], D[1],...,D[n+1] on Nash's manifold U -> M such that D[n+1] is relatively ample on…
Finite generation and the Gauss process
John Atwell Moody
Convergence of the Gauss resolution process for a complex singular foliation of dimension r is shown to be equivalent to finite type of a graded sheaf which is built using base (r+…
Obstructions to trivializing a knot
Joan S. Birman, John A. Moody
The recent proof by Bigelow and Krammer that the braid groups are linear opens the possibility of applications to the study of knots and links. It was proved by the first author an…
Gaussian curvature and blowing up
John Atwell Moody
This paper gives a general nonsingularity condition for a blowup along an ideal, related to Gaussian curvature.