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arXiv · 1203.4448

The equations of Rees algebras of equimultiple ideals of deviation one

Ferran Muiños·Francesc Planas-Vilanova
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Abstract

We describe the equations of the Rees algebra R(I) of an equimultiple ideal I of deviation one, provided that I has a reduction J generated by a regular sequence and such that the initial forms of the elements of this sequence, except possibly the last one, are also a regular sequence in the associated graded ring of I. In particular, we prove that there is a single equation of top degree in a minimal generating set of the ideal of equations of R(I) and we relate this degree to the reduction number, recovering several known results in the context.

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Ferran Muiños, Francesc Planas-Vilanova. 2012-03-20. The equations of Rees algebras of equimultiple ideals of deviation one. https://arxiv.org/abs/1203.4448

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