We characterise the set of monomial ideals that can occur as the initial ideals of a given homogeneous ideal Q in a polynomial ring, as one varies the monomial order used within a fixed coordinate system. This set is canonically bijective to the set of vertices of the state polytope of Q, a convex polytope arising in the geometric invariant theory of the… (More)
The human paralytic neuropathy, Miller Fisher syndrome (MFS) is associated with autoantibodies specific for disialosyl epitopes on gangliosides GQ1b, GT1a, and GD3. Since these gangliosides are enriched in synaptic membranes, anti-ganglioside antibodies may target neuromuscular junctions (NMJs), thereby contributing to disease symptoms. We have shown… (More)
Information on foliar macronutrients is required in order to understand plant physiological and ecosystem processes such as photosynthesis, nutrient cycling, respiration and cell wall formation. The ability to measure, model and map foliar macronutrients (nitrogen (N), phosphorus (P), potassium (K), calcium (Ca) and magnesium (Mg)) at the forest canopy… (More)
We study, in various special cases, total distributions on the product of a finite collection of finite probability spaces and, in particular, the question of when the probability distribution of each factor space is determined by the total distribution.
OBJECTIVE To ascertain whether hypoglycemia in association with sleep deprivation causes greater cognitive dysfunction than hypoglycemia alone and protracts cognitive recovery after normoglycemia is restored. RESEARCH DESIGN AND METHODS Fourteen adults with type 1 diabetes underwent a hyperinsulinemic, hypoglycemic clamp on two separate occasions. Before… (More)
We give a method for verifying, by a symbolic calculation, the stability or semistability with respect to a linearization of fixed, possibly small, degree m, of the Hilbert point of a scheme X ∈ P(V) having a suitably large automorphism group. We also implement our method and apply it to analyze the stability of bicanonical models of certain curves. Our… (More)
The main result of this dissertation is that Hilbert points parametrizing smooth curves with marked points are GIT-stable with respect to a wide range of linearizations. This is used to construct the coarse moduli spaces of stable weighted pointed curves M g,A , including the moduli spaces M g,n of Deligne-Mumford stable pointed curves, as well as ample… (More)