36 citations · 112 across the 21 of their papers we have counts for
31 papers
Dually Lorentzian Polynomials
Julius Ross, Hendrik Süß, Thomas Wannerer
We introduce and study a notion of dually Lorentzian polynomials, and show that if is non-zero and dually Lorentzian then the operator \[s(\partial_{x_1},\ldots,\partial_{x_n})…
Interpolation, Prekopa and Brunn-Minkowski for -subharmonicity
Julius Ross, David Witt Nyström
We extend Prekopa's Theorem and the Brunn-Minkowski Theorem from convexity to -subharmonicity. We apply this to the interpolation problem of convex functions and convex sets int…
Hodge-Riemann Relations for Schur Classes in the Linear and Kähler Cases
Julius Ross, Matei Toma
We prove a version of the Hodge-Riemann bilinear relations for Schur polynomials of Kähler forms and for Schur polynomials of positive forms on a complex vector space.
On Hodge-Riemann Cohomology Classes
Julius Ross, Matei Toma
We prove that Schur classes of nef vector bundles are limits of classes that have a property analogous to the Hodge-Riemann bilinear relations. We give a number of applications, in…
Twisted Kähler-Einstein metrics
Julius Ross, Gábor Székelyhidi
We prove an existence result for twisted Kähler-Einstein metrics, assuming an appropriate twisted K-stability condition. An improvement over earlier results is that certain non-neg…
Hodge-Riemann bilinear relations for Schur classes of ample vector bundles
Julius Ross, Matei Toma
Let be a dimensional projective manifold, be an ample vector bundle on and be a partition of $d-…