Criteria for Componentwise Linearity |
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| Authors: | Uwe Nagel Tim Römer |
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| Institution: | 1. Department of Mathematics , University of Kentucky , Lexington , Kentucky , USA uwe.nagel@uky.edu;3. Universit?t Osnabrück , Institut für Mathematik , Osnabrück , Germany |
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| Abstract: | We establish characteristic-free criteria for the componentwise linearity of graded ideals. As applications, we classify the componentwise linear ideals among the Gorenstein ideals, the standard determinantal ideals, and the ideals generated by the submaximal minors of a symmetric matrix. |
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| Keywords: | Betti numbers Generic initial ideal Gorenstein ideal Stable monomial ideal Standard determinantal ideal |
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