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arXiv · 1709.05985

The depth of the Rees algebra of three general binary forms

Ricardo Burity·Aron Simis
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Abstract

One proves that the Rees algebra of an ideal generated by three general binary forms of same degree $\geq 5$ has depth one. The proof hinges on the behavior of the Ratliff-Rush filtration for low powers of the ideal and on establishing that certain large matrices whose entries are quadratic forms have maximal rank. One also conjectures a shorter result that implies the main theorem of the paper.

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Ricardo Burity, Aron Simis. 2017-09-18. The depth of the Rees algebra of three general binary forms. https://arxiv.org/abs/1709.05985

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