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Apr 5, 2011 at 2:46 comment added Charles Staats I asked Madhav Nori about this question. He said (although I may not be remembering this exactly right) that the answer is "yes" for $d \geq \mathrm{dim} \, X / 2$, and so far as he is aware, unknown in general. He also said that getting generators that are local complete intersections is no easier or harder than getting generators that are smooth.
Apr 3, 2011 at 19:57 answer added Sasha timeline score: 7
Apr 3, 2011 at 17:50 comment added Xandi Tuni @Sasha: Just linear combinations. One could of course also look at the subring of the Chowring generated by lci's... why would the answer be yes then?
Apr 3, 2011 at 17:02 comment added Sasha Do you allow only linear combinations of lci, or products of lci as well? In the latter case I think the answer is yes.
Apr 3, 2011 at 13:07 history asked Xandi Tuni CC BY-SA 2.5