36 citations · 112 across the 21 of their papers we have counts for
4 papers · 1 filter
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…
A Master Space for Moduli Spaces of Gieseker-Stable Sheaves
Daniel Greb, Julius Ross, Matei Toma
We consider a notion of stability for sheaves, which we call multi-Gieseker stability that depends on several ample polarisations and on an additional parameter $…
K-stability for Kähler Manifolds
Ruadhaí Dervan, Julius Ross
We formulate a notion of K-stability for Kähler manifolds, and prove one direction of the Yau-Tian-Donaldson conjecture in this setting. More precisely, we prove that the Mabuchi f…
Quantization of Hitchin's equations for Higgs Bundles I
Mario Garcia-Fernandez, Julien Keller, Julius Ross
We provide an algebraic framework for quantization of Hermitian metrics that are solutions of the Hitchin equation for Higgs bundles over a projective manifold. Using Geometric Inv…