Personal tools
You are here: Home Publications Stability conditions via spherical objects

Stability conditions via spherical objects

Daniel Huybrechts

Number 40
Author Daniel Huybrechts
Project B02
Year 2010

An object in the bounded derived category D^b(Coh(X)) of coherent sheaves on a complex projective K3 surface X is spherical if it is rigid and simple. Although spherical objects form only a discrete set in the moduli stack of complexes, they determine much of the structure of X and D^b(Coh(X)). Here we show that a stability condition on D^b(Coh(X)) is determined by the stability of spherical objects.

More information about this publication…

Document Actions
March 2019 »
March
MoTuWeThFrSaSu
123
45678910
11121314151617
18192021222324
25262728293031