Regularity of powers of quadratic sequences with applications to binomial ideals

21 Oct 2020 Jayanthan A. V. Kumar Arvind Sarkar Rajib

In this article, we obtain an upper bound for the Castelnuovo-Mumford regularity of powers of an ideal generated by a homogeneous quadratic sequence in a polynomial ring in terms of the regularity of its related ideals and degrees of its generators. As a consequence, we compute upper bounds for the regularity of powers of several binomial ideals... (read more)

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  • COMMUTATIVE ALGEBRA