Variations on the Grothendieck-Serre Formula for Hilbert functions and their applications
Commutative Algebra
2016-03-08 v1
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.
Keywords
Cite
@article{arxiv.1603.01841,
title = {Variations on the Grothendieck-Serre Formula for Hilbert functions and their applications},
author = {Shreedevi K. Masuti and Parangama Sarkar and J. K. Verma},
journal= {arXiv preprint arXiv:1603.01841},
year = {2016}
}
Comments
32 pages