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Postulation and Reduction Vectors of Multigraded Filtrations of Ideals by Sarkar, Parangama; Verma, J. K. is a scholarly article available to read on EtoBox.

What is Postulation and Reduction Vectors of Multigraded Filtrations of Ideals about?

We study relationship between postulation and reduction vectors of admissible multigraded filtrations $\mathcal F= \{\mathcal F (\underline n)\}_{\underline n\in\mathbb Z^s}$ of ideals in Cohen-Macaulay local rings of dimension at most two. This is enabled by a suitable generalisation of the Kirby-Mehran Complex. An analysis of its homology leads to an analogue of Huneke's Fundamental Lemma which plays a crucial role in our investigations. We also clarify the relationship between the Cohen-Macaulay property of the multigraded Rees algebra of $\mathcal F$ and reduction vectors with respect to complete reductions of $\mathcal F.$

Author

Sarkar, Parangama; Verma, J. K.

Published

2016

Language

EN