Chow groups of K3 surfaces and spherical objects

Details Chow groups of K3 surfaces and spherical objects Chow groups of K3 surfaces and spherical objects

2008-09-15

arxiv.org/abs/0809.2606v2

Mathematics

Algebraic Geometry

18 pages, minor modifcations and corrections, to appear in JEMS

Scientific paper

We show that for a K3 surface X the finitely generated subring R(X) of the Chow ring introduced by Beauville and Voisin is preserved under derived equivalences. This is proved by analyzing Chern characters of spherical bundles. As for a K3 surface X defined over a number field all spherical bundles on the associated complex K3 surface are defined over $\bar\QQ$, this is compatible with the Bloch-Beilinson conjecture. Besides the work of Beauville and Voisin, Lazarfeld's result on Brill-Noether theory for curves in K3 surfaces and the deformation theory developed with Macri and Stellari in arXiv:0710.1645 are central for the discussion.

Affiliated with

Also associated with

No associations

Rating

Chow groups of K3 surfaces and spherical objects does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chow groups of K3 surfaces and spherical objects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chow groups of K3 surfaces and spherical objects will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-570083