Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical
  objects   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.

34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio