9 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 rank…
Twisted scalar curvature as a moment map
Ruadhaí 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…
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…
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…
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…
Diagonalizations of denormalized volume polynomials
Julius Ross, Hendrik Süß
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.
Uniform boundedness of semistable pure sheaves on projective manifolds
Mihai Pavel, Julius Ross, Matei Toma
We prove uniform boundedness statements for semistable pure sheaves on projective manifolds. For example, we prove that the set of isomorphism classes of pure sheaves of dimension…
Schur positivity of difference of products of derived Schur polynomials
Julius Ross, Kuang-Yu Wu
To any Schur polynomial one can associated its derived polynomials by the rule …
Harmonic Interpolation and a Brunn-Minkowski Theorem for Random Determinants
Julius Ross, David Witt Nyström
We describe the harmonic interpolation of convex bodies, and prove a strong form of the Brunn-Minkowski inequality and characterize its equality case. As an application we improve…