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- W4287702941 abstract "Let $S$ be a standard graded polynomial ring over a field, and $I$ be a homogeneous ideal that contains a regular sequence of degrees $d_1,ldots,d_n$. We prove the Eisenbud-Green-Harris conjecture when the forms of the regular sequence satisfy $d_i geqslant sum_{j=1}^{i-1}(d_j-1)$, improving a result obtained in 2008 by the first author and Maclagan. Except for the sporadic case of a regular sequence of five quadrics, recently proved by Gunturkun and Hochster, the results of this article recover all known cases of the conjecture where only the degrees of the regular sequence are fixed, and include several additional ones." @default.
- W4287702941 created "2022-07-26" @default.
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- W4287702941 date "2020-07-30" @default.
- W4287702941 modified "2023-09-30" @default.
- W4287702941 title "The Eisenbud-Green-Harris conjecture for fast-growing degree sequences" @default.
- W4287702941 doi "https://doi.org/10.48550/arxiv.2007.15467" @default.
- W4287702941 hasPublicationYear "2020" @default.
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