This is an old revision of this page, as edited by Hut 8.5 (talk | contribs) at 21:23, 15 September 2019 (restoration requested at WP:REFUND, does not qualify for G13 as Misplaced Pages:Miscellany for deletion/Draft:Operational Chow ring not closed as Delete). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
Revision as of 21:23, 15 September 2019 by Hut 8.5 (talk | contribs) (restoration requested at WP:REFUND, does not qualify for G13 as Misplaced Pages:Miscellany for deletion/Draft:Operational Chow ring not closed as Delete)(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)This page was nominated for deletion. The debate was closed on 9 March 2018 with a consensus to merge the content into the page Chow group. If you find that such action has not been taken promptly, please consider assisting in the merger instead of re-nominating the page for deletion. To discuss the merger, please use the destination page's talk page. |
The basic question was whether there is a cycle map:
If X is smooth, such a map exists since is the usual Chow ring of X. (Totaro 2014) harv error: no target: CITEREFTotaro2014 (help) has shown that rationally there is no such a map with good properties even if X is a linear variety, roughly a variety admitting a cell decomposition. He also notes that Voevodsky’s motivic cohomology ring is "probably more useful " than the operational Chow ring for a singular scheme (§ 8 of loc. cit.)
References
- W. Fulton, R. MacPherson, F. Sottile, and B. Sturmfels, ‘Intersection theory on spherical varieties’, J. Alg. Geom. 4 (1995), 181–193.
- Totaro, Chow groups, Chow cohomology and linear varieties
This geometry-related article is a stub. You can help Misplaced Pages by expanding it. |