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 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 …

Let ξ be the Chern character of a stable coherent sheaf on P2. We compute the cone of
effective divisors on the moduli space M (ξ) of semistable sheaves on P2 with Chern …

We study the birational geometry of moduli spaces of semistable sheaves on the projective
plane via Bridgeland stability conditions. We show that the entire MMP of their moduli …

Fix a Chern character of a stable sheaf on the plane. Assume either the rank is at most 6 or
the rank and first Chern class are coprime and the discriminant is sufficiently large. We use …

Over the last few years, wall-crossing for Bridgeland stability conditions has led to a large
number of results in algebraic geometry, particular on birational geometry of moduli spaces …

Following up on the construction of Bridgeland stability condition on $\mathbb {P}^ 3$ by
Macrì, we develop techniques to study concrete wall crossing behavior for the first time on a …

Stability conditions on threefolds with nef tangent bundles - ScienceDirect Skip to main
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In this paper, we survey recent developments in the birational geometry of the moduli
spaces M (ξ) of semistable sheaves on P2 following [ABCH],[CH],[CH2],[CHW] and [H]. We …

The wall-crossing behavior for Bridgeland's stability conditions on the derived category of
coherent sheaves on K3 or abelian surface is studied. We introduce two types of walls. One …