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Hilbert polynomials of j-transforms

Published online by Cambridge University Press:  02 May 2016

SHIRO GOTO
Affiliation:
Department of Mathematics, School of Science and Technology, Meiji University, 1-1-1 Higashi-mita, Tama-ku, Kawasaki 214-8571, Japan. e-mail: goto@math.meiji.ac.jp
JOOYOUN HONG
Affiliation:
Department of Mathematics, Southern Connecticut State University, 501 Crescent Street, New Haven, CT 06515-1533, U.S.A. e-mail: hongj2@southernct.edu
WOLMER V. VASCONCELOS
Affiliation:
Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd, Piscataway, NJ 08854-8019, U.S.A. e-mail: vasconce@math.rutgers.edu

Abstract

We study transformations of finite modules over Noetherian local rings that attach to a module M a graded module H(x)(M) defined via partial systems of parameters x of M. Despite the generality of the process, which are called j-transforms, in numerous cases they have interesting cohomological properties. We focus on deriving the Hilbert functions of j-transforms and studying the significance of the vanishing of some of its coefficients.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2016 

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