David Witt Nyström

activity

20092021

most citedOn the Maximal Rank Problem for the Complex Homogeneous Monge-Ampère Equation

6 citations · 10 across the 4 of their papers we have counts for

collaborators

4 papers

math.CV2021

Non-pluripolar energy and the complex Monge-Ampère operator

Mats Andersson, David Witt Nyström, Elizabeth Wulcan

Given a domain $Ω \subset C^{n}$ we introduce a class of plurisubharmonic (psh) functions $G (Ω)$ and Monge-Ampère operators $u \mapsto [d d^{c} u]^{p}$ , $p \leq n$ , on $\mat…

math.AP2018

Differentiability of the argmin function and a minimum principle for semiconcave subsolutions

Julius Ross, David Witt Nyström

Suppose $f (x, y) + \frac{κ}{2} ∥ x ∥^{2} - \frac{σ}{2} ∥ y ∥^{2}$ is convex where $σ > 0$ , and the argmin function $γ (x) = {γ : in f_{y} f (x, y) = f (x, γ)}$ exists and is single valued. We will…

math.CV2016★ 6 cited

On the Maximal Rank Problem for the Complex Homogeneous Monge-Ampère Equation

Julius Ross, David Witt Nyström

We give examples of regular boundary data for the Dirichlet problem for the Complex Homogeneous Monge-Ampère Equation over the unit disc, whose solution is completely degenerate on…

math.CV2009★ 4 cited

Transforming metrics on a line bundle to the Okounkov body

David Witt Nyström

Let $L$ be a big holomorphic line bundle on a complex projective manifold $X .$ We show how to associate a convex function on the Okounkov body of $L$ to any continuous metric $ψ$ o…