The Chow ring of a K3 surface
Abstract
Let X be a K3 surface. We show that the Chow group CH_0(X) of 0-cycles contains a "fundamental class" c_X of degree 1 with remarkable properties: any product of divisors is proportional to this class, and so is the second Chern class c_2(X). This preprint supersedes the preprint math.AG/0109063 by the first author, where the latter property was conjectured.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2001
- DOI:
- 10.48550/arXiv.math/0111146
- arXiv:
- arXiv:math/0111146
- Bibcode:
- 2001math.....11146B
- Keywords:
-
- Algebraic Geometry
- E-Print:
- 10 pages, Plain TeX. Supersedes AG/0109063