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Algebraic cycles on the Fano variety of lines of a cubic fourfoldPublished in
2016
Volume: 5627
In this text we prove that if a smooth cubic in $\PR^5$ has its Fano variety of lines birational to the Hilbert scheme of two points on a K3 surface, then there exists a smooth projective curve or a smooth projective surface embedded in the Fano variety, such that the kernel of the push-forward (at the level of zero cycles ) induced by the closed embedding is torsion.
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About the journal
| Journal | arXiv preprint arXiv:1609. |
|---|
Authors (1)
Kalyan BanerjeeÉtale monodromy and rational equivalence for 1-cycles on cubic hypersurfaces in [IMG align=ABSMIDDLE alt=$ \mathbb P^5$]tex_sm_4847_img1[/IMG]
- On the closed embedding of the product of theta divisors into product of Jacobians and Chow groups
- Chow groups of conic bundles in P5 and the Generalised Bloch’s conjecture
- Representability of Chow groups of codimension three cycles
