The equations of Rees algebras of equimultiple ideals of deviation one.
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We describe the equations of the Rees algebra R(I) of an equimultiple ideal I of deviation one provided that I has a reduction generated by a regular sequence x1, . . . , xs such that the initial forms x∗ 1, . . . , x∗ s−1 are a regular sequence in the associated graded ring. In particular, we prove that there is a single equation of maximum degree in a minimal generating set of the equations of R(I), which recovers some previous known results.
CitationMuiños, F.; Planas, F. A. The equations of Rees algebras of equimultiple ideals of deviation one.. "Proceedings of the American Mathematical Society", 01 Gener 2013, vol. 141, núm. 4, p. 1241-1254.