3 papers
math.AG2025
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…
math.AG2024
Slope-semistability and moduli of coherent sheaves: a survey
Mihai Pavel, Matei Toma
We survey old and new results on the existence of moduli spaces of semistable coherent sheaves both in algebraic and in complex geometry.
math.AG2024
Moduli spaces of slope-semistable sheaves with reflexive Seshadri graduations
Mihai Pavel, Matei Toma
We study the moduli stacks of slope-semistable torsion-free coherent sheaves that admit reflexive, respectively locally free, Seshadri graduations on a smooth projective variety. W…