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arXiv · 1410.1210

On a conjecture of Vasconcelos

Ricardo Burity·Aron Simis·Stefan Tohaneanu
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Abstract

One studies the structure of the Rees algebra of an almost complete intersection monomial ideal of finite co-length in a polynomial ring over a field, assuming that the least pure powers of the variables contained in the ideal have the same degree. It is shown that the Rees algebra has a natural quasi-homogeneous structure and its presentation ideal is generated by explicit Sylvester forms. A consequence of these results is a proof that the Rees algebra is almost Cohen--Macaulay, thus answering affirmatively an important case of a conjecture of W. Vasconcelos.

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Ricardo Burity, Aron Simis, Stefan Tohaneanu. 2015-03-07. On a conjecture of Vasconcelos. https://arxiv.org/abs/1410.1210

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