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arXiv · 1603.01841

Variations on the Grothendieck-Serre Formula for Hilbert functions and their applications

Shreedevi K. Masuti·Parangama Sarkar·J. K. Verma
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Abstract

In this expository paper we present proofs of Grothendieck-Serre Formula for multi-graded algebras and Rees algebras for admissible multi-graded filtrations. As applications, we derive formulas of Sally for postulation number of admissible filtrations and Hilbert coefficients. We also discuss a partial solution of Itoh's conjecture by Kummini and Masuti. We present an alternate proof of Huneke-Ooishi Theorem and a generalisation for multi-graded filtrations.

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Shreedevi K. Masuti, Parangama Sarkar, J. K. Verma. 2016-03-06. Variations on the Grothendieck-Serre Formula for Hilbert functions and their applications. https://arxiv.org/abs/1603.01841

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