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- W2785203462 abstract "Let $R$ be a polynomial ring over a field and $I$ an ideal generated by three forms of degree three. Motivated by Stillman's question, Engheta proved that the projective dimension $mathrm{pd}(R/I)$ of $R/I$ is at most 36, although the example with largest projective dimension he constructed has $mathrm{pd}(R/I)=5$. Based on computational evidence, it had been conjectured that $mathrm{pd}(R/I)leq 5$. In the present paper we prove this conjectured sharp bound." @default.
- W2785203462 created "2018-02-02" @default.
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- W2785203462 date "2018-01-24" @default.
- W2785203462 modified "2023-09-27" @default.
- W2785203462 title "The projective dimension of three cubics is at most 5" @default.
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