Personal tools
You are here: Home Publications A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects

A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects

Daniel Huybrechts

Number 41
Author Daniel Huybrechts
Project B02
Year 2010

For a projective K3 surface X we introduce the dense triangulated subcategory S^* of the bounded derived category D^b(Coh(X)) of coherent sheaves on X that is generated by spherical objects. For a K3 surface X over \bar Q it is shown that S^* admits a bounded t-structure if and only if the Bloch-Beilinson conjecture holds for X, i.e. CH^2(X)=Z.

More information about this publication…

Document Actions