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Timeline for Varieties cut by quadrics

Current License: CC BY-SA 2.5

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Nov 22, 2021 at 7:22 comment added Maxim Leyenson Richard -- the real question is about the projective varieties, not the affine ones (and, I assume, in a fixed projective embedding)
Feb 8, 2010 at 7:29 comment added Bjorn Poonen Skolem used this trick to show that to decide the solvability of arbitrary polynomial equations in integers, it would suffice to do it for those of total degree 4: see page 3 of math.mit.edu/~poonen/papers/h10_notices.pdf . (Skolem's work was in the 1920s, which presumably predates the two-page paper you are referring to. And it wouldn't surprise me if the trick were known even before Skolem!)
Feb 8, 2010 at 7:13 history answered Richard Montgomery CC BY-SA 2.5