| Revision as of 21:23, 15 September 2019 editHut 8.5 (talk | contribs)Administrators62,802 edits restoration requested at WP:REFUND, does not qualify for G13 as Misplaced Pages:Miscellany for deletion/Draft:Operational Chow ring not closed as Delete← Previous edit | Latest revision as of 15:13, 26 October 2019 edit undoTakuyaMurata (talk | contribs)Extended confirmed users, IP block exemptions, Pending changes reviewers89,986 edits ←Changed redirect target from Chow group#Operational Chow Ring to Bivariant theory#Operational Chow ringTag: Redirect target changed | ||
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| #REDIRECT ] | |||
| {{r to section}} | |||
| The basic question was whether there is a ]: | |||
| :<math>A^*(X) \to \operatorname{H}^*(X, \mathbb{Z}).</math> | |||
| If ''X'' is smooth, such a map exists since <math>A^*(X)</math> is the usual ] of ''X''. {{harv|Totaro|2014}} has shown that rationally there is no such a map with good properties even if ''X'' is a ], roughly a variety admitting a cell decomposition. He also notes that Voevodsky’s ] 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, | |||
| {{geometry-stub}} | |||
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