A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects
Algebraic Geometry
2013-09-12 v1
Abstract
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.
Cite
@article{arxiv.1009.4371,
title = {A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects},
author = {Daniel Huybrechts},
journal= {arXiv preprint arXiv:1009.4371},
year = {2013}
}
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8 pages