2014/10/05 by Ricardo Burity, Aron Simis, Burity, Ricardo +3
Mathematics · #13A30 (Primary) 13C14 #13D02 #13P10 #14E07 #14M07 (Secondary) #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1410.1210
openalex publication_date 2014/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.