4 papers
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…
Projectivity of Moduli Spaces in the Higher-Rank DT/PT Correspondence
Mihai Pavel, Tuomas Tajakka
We study projectivity of moduli spaces on the DT/PT wall crossing in Bridgeland and polynomial stability on a smooth, projective threefold. First, we construct a globally generated…
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…
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.