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Subspace arrangements as generalized star configurations
Abstract:In this note, we show that any projective subspace arrangement can be realized as a generalized star configuration variety. This type of interpolation result may be useful in designing linear codes with prescribed codewords of minimum weight, as well as in answering a couple of questions about the number of equations needed to define a generalized star configuration variety.
Keywords:Subspace arrangement  star configuration  interpolation  arithmetic rank  Primary: 14N20  Secondary: 65D05  16N40
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