36 citations · 112 across the 21 of their papers we have counts for
12 papers · 1 filter
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…
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-…
Stable maps in higher dimensions
Ruadhaí Dervan, Julius Ross
We formulate a notion of stability for maps between polarised varieties which generalises Kontsevich's definition when the domain is a curve and Tian-Donaldson's definition of K-st…
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 $…
Moduli of vector bundles on higher-dimensional base manifolds - Construction and Variation
Daniel Greb, Julius Ross, Matei Toma
We survey recent progress in the study of moduli of vector bundles on higher-dimensional base manifolds. In particular, we discuss an algebro-geometric construction of an analogue…