A remark on Beauville's splitting property
Algebraic Geometry
2017-06-20 v1
Abstract
Let be a hyperk\"ahler variety. Beauville has conjectured that a certain subring of the Chow ring of should inject into cohomology. This note proposes a similar conjecture for the ring of algebraic cycles on modulo algebraic equivalence: a certain subring (containing divisors and codimension cycles) should inject into cohomology. We present some evidence for this conjecture.
Keywords
Cite
@article{arxiv.1706.05820,
title = {A remark on Beauville's splitting property},
author = {Robert Laterveer},
journal= {arXiv preprint arXiv:1706.05820},
year = {2017}
}
Comments
8 pages, to appear in Manuscr. Math., comments very welcome