A formula for the multiplicity of the multi-graded extended Rees algebra

2004/09/09 by Clare D'Cruz
Mathematics · #math.AC #msc:13H15

paper · pdf

published as Comm. Algebra 31 (2003), no. 6, 2573--2585 · 12 pages

arxiv created 2004/09/09 · arxiv updated 2009/12/01

Abstract

Our aim in this paper is to obtain a formula for the multiplicity of the maximal homogeneous ideal of the multi-graded extended Rees algebra. This formula generalizes the one obtained in [8] by Katz and Verma for the ordinary extended Rees algebra.

Related

• The degree sequence of ideals and multiplicities
• Multigraded extended Rees algebras of m-primary ideals
• Notes on Hilbert-Kunz multiplicity of Rees algebras
• Computing epsilon multiplicities in graded algebras
• Multiplier Modules of extended Rees algebras