4 papers · 1 filter
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…
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.
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…