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Motivated by Stillman's question, we show that the projective dimension of an ideal generated by four quadric forms in a polynomial ring is at most 6; moreover, this bound is… Click to show full abstract
Motivated by Stillman's question, we show that the projective dimension of an ideal generated by four quadric forms in a polynomial ring is at most 6; moreover, this bound is tight. We achieve this bound, in part, by giving a characterization of the low degree generators of ideals primary to height three primes of multiplicities one and two.
Keywords:
dimension;
tight bound;
four quadrics;
bound projective;
dimension four;
projective dimension
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2018
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!