We use wall-crossing with respect to Bridgeland stability conditions to systematically study
the birational geometry of a moduli space MM of stable sheaves on a K3 surface XX:(a) We …

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 …

We construct a family of nef divisor classes on every moduli space of stable complexes in
the sense of Bridgeland. This divisor class varies naturally with the Bridgeland stability …

We construct new t-structures on the derived category of coherent sheaves on smooth
projective threefolds. We conjecture that they give Bridgeland stability conditions near the …

In this paper, we study the birational geometry of the Hilbert scheme P2 [n] of n-points on P2.
We discuss the stable base locus decomposition of the effective cone and the corresponding …

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 …

In this paper, the first in a series, we study the deformed Hermitian–Yang–Mills (dHYM)
equation from the variational point of view as an infinite dimensional GIT problem. The …

We derive constraints on the existence of walls for Bridgeland stability conditions for general
projective surfaces. We show that in suitable planes of stability conditions the walls are …

For a K3 surface X and its bounded derived category of coherent sheaves D (X), we have
the notion of stability conditions on D (X) in the sense of T. Bridgeland. In this paper, we …

We show that a purely algebraic structure, a two-dimensional scattering diagram, describes
a large part of the wall-crossing behavior of moduli spaces of Bridgeland semistable objects …