A note on d -sequences and regular sequences of quadrics

Article Type

Research Article

Publication Title

Proceedings of the Indian Academy of Sciences: Mathematical Sciences

Abstract

Let K be a field and X, Y denote matrices such that the entries of X are either indeterminates over K or 0, not all zero, and the entries of Y are indeterminates over K which are different from those appearing in X. We consider the ideal I1(XY) , which is the ideal generated by the homogeneous polynomials of degree 2 given by the 1 × 1 minors of the matrix XY. We prove that d-sequences and regular sequences arise naturally as part of generators of I1(XY) for some special cases. We use this information to calculate the equations defining the Rees algebra of I1(XY).

DOI

10.1007/s12044-022-00719-x

Publication Date

12-1-2022

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