6 papers
Orbifold Bergman Kernels
Julius Ross, Shin Kim
Let be a compact -dimensional Kähler orbifold, the stabilizer groups of which are abelian and have rank at most two. Let be an orbi-ample vector bundle of ran…
Generalized Bogomolov Inequalities
Mihai Pavel, Julius Ross, Matei Toma
We introduce the notion of a Hodge-Riemann pair of cohomology classes that generalizes the classical Hodge-Riemann bilinear relations, and the notion of a Bogomolov pair of cohomol…
Accessibility for the Working Mathematician
Julius Ross
If you only take one thing away from this document I would like it tobe this: Creating accessible documents requires authors have a working understanding of accessibility, and writ…
Twisted scalar curvature as a moment map
Ruadhaà Dervan, Thomas Murphy, Julius Ross +2
We develop the moment map theory of the twisted scalar curvature of a Kähler metric. Primarily, we introduce a coupled system of equations on a holomorphic submersion intertwining…
Realization of Cohomology Classes in Grassmannians
Izzet Coskun, Julius Ross
The study of irreducible subvarieties has recently seen a surge of interest due to connections with convex geometry. In this paper, we study cohomology classes of Grassmannians tha…
Diagonalizations of denormalized volume polynomials
Julius Ross, Hendrik SüÃ
We show that diagonalization, products and lower truncations preserve the property of being a denormalized volume polynomial. We also discuss an application to poset inequalities.