K3 surfaces are central objects in modern algebraic geometry. This book examines this
important class of Calabi–Yau manifolds from various perspectives in eighteen self …

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 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 …

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 …

We introduce a general method to induce Bridgeland stability conditions on semiorthogonal
components of triangulated categories. In particular, we prove the existence of Bridgeland …

The aim of this introductory survey is to acquaint the reader with important objects in
complex algebraic geometry: K3 surfaces and their higher-dimensional analogs, hyper …

We formulate a version of the integral Hodge conjecture for categories, prove the conjecture
for two-dimensional Calabi–Yau categories which are suitably deformation equivalent to the …

We study moduli spaces of stable objects in Enriques categories by exploiting their relation
to moduli spaces of stable objects in associated K3 categories. In particular, we settle the …

Bridgeland’s stability and the positive cone of the moduli spaces of stable objects on an
abelian surface. Page 1 Advanced Studies in Pure Mathematics 69, 2016 Development of …