Fröberg conjecture on Hilbert series of generic polynomial ideals holds in the second non-trivial degree for d>2 and up to degree 2d-1 for sufficiently many variables.
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Independence of generic forms and the Fr\"oberg conjecture
Fröberg conjecture on Hilbert series of generic polynomial ideals holds in the second non-trivial degree for d>2 and up to degree 2d-1 for sufficiently many variables.