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- W2003457187 abstract "Abstract When I is the radical homogeneous ideal of a finite set of points in projective N-space, P N , over a field K, it has been conjectured that I ( r N − N + 1 ) should be contained in I r for all r ≥ 1 . Recent counterexamples show that this can fail when N = r = 2 . We study properties of the resulting ideals. We also show that failures occur for infinitely many r in every characteristic p > 2 when N = 2 , and we find additional positive characteristic failures when N > 2 ." @default.
- W2003457187 created "2016-06-24" @default.
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- W2003457187 date "2015-04-01" @default.
- W2003457187 modified "2023-09-27" @default.
- W2003457187 title "Containment counterexamples for ideals of various configurations of points in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=bold>P</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>" @default.
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- W2003457187 doi "https://doi.org/10.1016/j.jpaa.2014.05.034" @default.
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