59 citations · 69 across the 3 of their papers we have counts for
6 papers · 1 filter
T-structures on some local Calabi-Yau varieties
Tom Bridgeland
Let be a Fano variety satisfying the condition that the rank of the Grothendieck group of is one more than the dimension of . Let denote the total space of the can…
Stability conditions on K3 surfaces
Tom Bridgeland
This paper contains a description of one connected component of the space of stability conditions on the bounded derived category of coherent sheaves on a complex algebraic K3 surf…
Stability conditions on triangulated categories
Tom Bridgeland
This paper introduces the notion of a stability condition on a triangulated category. The motivation comes from the study of Dirichlet branes in string theory, and especially from…
Flops and derived categories
Tom Bridgeland
This paper contains some applications of Fourier-Mukai techniques to the birational geometry of threefolds. In particular, we prove that birational Calabi-Yau threefolds have equiv…
Mukai implies McKay: the McKay correspondence as an equivalence of derived categories
Tom Bridgeland, Alastair King, Miles Reid
Let G be a finite group of automorphisms of a nonsingular complex threefold M such that the canonical bundle omega_M is locally trivial as a G-sheaf. We prove that the Hilbert sche…
Fourier-Mukai transforms for quotient varieties
Tom Bridgeland, Antony Maciocia
We study Fourier-Mukai transforms for smooth projective varieties whose canonical bundles have finite order, and relate them to equivariant transforms on certain finite covering sp…