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- W2588659360 abstract "The purpose of this note is to show a new series of examples of homogeneous ideals I in K[x,y,z,w] for which the containment I(3)⊂I2 fails. These ideals are supported on certain arrangements of lines in P3, which resemble Fermat configurations of points in P2, see [14]. All examples exhibiting the failure of the containment I(3)⊆I2 constructed so far have been supported on points or cones over configurations of points. Apart from providing new counterexamples, these ideals seem quite interesting on their own." @default.
- W2588659360 created "2017-02-24" @default.
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- W2588659360 date "2018-08-01" @default.
- W2588659360 modified "2023-09-27" @default.
- W2588659360 title "Fermat-type configurations of lines in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>P</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> and the containment problem" @default.
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- W2588659360 doi "https://doi.org/10.1016/j.jpaa.2017.09.015" @default.
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