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arXiv · 0907.1703

Bound on the projective dimension of three cubics

Bahman Engheta
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Abstract

We show that given any polynomial ring R over a field, and any ideal J in R which is generated by three cubic forms, the projective dimension of R/J is at most 36. We also settle the question whether ideals generated by three cubic forms can have projective dimension greater than 4, by constructing one with projective dimension equal to 5.

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Bahman Engheta. 2009-07-10. Bound on the projective dimension of three cubics. https://doi.org/10.1016/j.jsc.2009.06.005

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