3 papers
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
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…
math.AG2024
Semistability conditions defined by ample classes
Damien Mégy, Mihai Pavel, Matei Toma
We study a class of semistability conditions defined by a system of ample classes for coherent sheaves over a smooth projective variety. Under some necessary boundedness assumption…