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- W2012372176 abstract "Let D ={ d 1 ,…, d r } be a list of positive integers. We generalize the standard binomial coefficients by putting a b D := Δ H c.i .(d 1 ,…,d r ), P a−b+r (b) for a ⩾ b . We then generalize Macaulay's O -sequences and we refer to our sequences as O D -sequences. We recall the k D -configurations we constructed in [S. Sabourin, Generalized k -configurations, in preparation], which generalize both 0-dimensional reduced complete intersections and the k -configurations studied by Geramita, Harima, and Shin. We then use O D -sequences to characterize the Hilbert functions of k D -configurations." @default.
- W2012372176 created "2016-06-24" @default.
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- W2012372176 date "2004-05-01" @default.
- W2012372176 modified "2023-10-17" @default.
- W2012372176 title "Generalized O-sequences and Hilbert functions of points" @default.
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- W2012372176 doi "https://doi.org/10.1016/j.jalgebra.2004.01.010" @default.
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