Generic initial ideals of some monomial complete intersections in four variables |
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Authors: | Tadahito Harima Sho Sakaki Akihito Wachi |
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Institution: | 1. Department of Mathematics Education, Ehime University, Matsuyama, 790-8577, Japan 2. Department of Mathematics, Hokkaido University of Education, Kushiro, 085-8580, Japan
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Abstract: | Let R = Kx
1, x
2, x
3, x
4] be the polynomial ring over a field of characteristic zero. For the ideal (x1a, x2b, x3c, x4d) ì R{(x_1^a, x_2^b, x_3^c, x_4^d) \subset R}, where at least one of a, b, c and d is equal to two, we prove that its generic initial ideal with respect to the reverse lexicographic order is the almost revlex
ideal corresponding to the same Hilbert function. |
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Keywords: | |
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