| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 401853 | Journal of Symbolic Computation | 2010 | 14 Pages |
Abstract
We show that given any polynomial ring R over a field and any ideal J⊂R which is generated by three cubic forms, the projective dimension of R/J is at most 36. We also settle the question of 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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