most recent 30 from http://mathoverflow.net 2013-05-21T18:49:12Z http://mathoverflow.net/feeds/user/11215 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/47783/can-a-curve-intersect-a-given-curve-only-at-given-points/47851#47851 Juan Migliore 2010-12-01T01:47:28Z 2010-12-01T01:47:28Z

<p>I don't even see an answer to the following simpler problem: let Z be a finite (reduced) set of points in the projective plane. Is Z a set-theoretic complete intersection? </p> <p>By the way, another interesting question is to let the curve X be in projective n-space, take an arbitrary set of points on X, and ask if it is set-theoretically cut out by a hypersurface. Assuming the answer to be no, can such sets of points be characterized somehow?</p>