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- W2912903390 abstract "Let K be an infinite field and let I=(f1,⋯,fr) be an ideal in the polynomial ring R=K[x1,⋯,xn] generated by generic forms of degrees d1,⋯,dr. A longstanding conjecture by Fröberg predicts the shape of the Hilbert function of R/I. In 2010 Pardue stated a conjecture on the initial ideal of n generic forms with respect to the deg-revlex order and he proved that it is equivalent to Fröberg's Conjecture. We study Pardue's Conjecture and we prove it under suitable conditions on the degrees of the forms. This yields a partial solution to Fröberg's Conjecture in the case r≤n+2 over an infinite field of any characteristic." @default.
- W2912903390 created "2019-02-21" @default.
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- W2912903390 date "2019-04-01" @default.
- W2912903390 modified "2023-09-30" @default.
- W2912903390 title "The initial ideal of generic sequences and Fröberg's Conjecture" @default.
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- W2912903390 doi "https://doi.org/10.1016/j.jalgebra.2019.01.011" @default.
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