We develop a theory of Bridgeland stability conditions and moduli spaces of semistable
objects for a family of varieties. Our approach is based on and generalizes previous work by …

We describe a connected component of the space of stability conditions on abelian
threefolds, and on Calabi-Yau threefolds obtained as (the crepant resolution of) a finite …

In these lecture notes we give an introduction to Bridgeland stability conditions on smooth
complex projective varieties with a particular focus on the case of surfaces. This includes …

We study the Clifford type inequality for a particular type of curves C_ 2, 2, 5 C 2, 2, 5, which
are contained in smooth quintic threefolds. This allows us to prove some stronger …

We prove the conjectural Bogomolov–Gieseker type inequality for tilt-stable objects on each
Fano threefold X of Picard number 1. In view of the previous works [1],[2] and [3] on …

We use the ideas of Bayer, Bertram, Macrı and Toda to construct a Bridgeland stability
condition on a principally polarized abelian threefold (X, L) with NS (X)= Z [l] by establishing …

In this paper we show that the moduli stacks of Bridgeland semistable objects on smooth
projective 3-folds are quasi-proper algebraic stacks of finite type if they satisfy the …

We survey some recent results concerning the so called Categorical Torelli problem. This is
to say how one can reconstruct a smooth projective variety up to isomorphism, by using the …

We prove that ideal sheaves of lines in a Fano three-fold of Picard rank one and index two
are stable objects in the Kuznetsov component, with respect to the stability conditions …

We show that the stability conditions on the Kuznetsov component of a Gushel–Mukai
threefold, constructed by Bayer, Lahoz, Macrì and Stellari, are preserved by the Serre …