J. K. Verma

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math.AC2005

Mixed multiplicities of ideals versus mixed volumes of polytopes

Ngo Viet Trung, Jugal Verma

The main results of this paper interpret mixed volumes of lattice polytopes as mixed multiplicities of ideals and mixed multiplicities of ideals as Samuel's multiplicities. In part…

math.AC2004

On fiber cones of $m$ -primary ideals

A. V. Jayanthan, Tony J. Puthenpurakal, J. K. Verma

Two formulas for the multiplicity of the fiber cone $F(I)=\oplus_{n=0}^{\infty} I^n/\m I^n$ of an $\m$-primary ideal of a $d$ -dimensional Cohen-Macaulay local ring $(R,\m)$ are der…

math.AC2004

Bound on the a-invariant and reduction numbers of ideals

Clare D'Cruz, Vijay Kodiyalam, Jugal. K. Verma

Let $R$ be a $d$ -dimensional standard graded ring over an Artin local ring. Let $M$ be the unique maximal homogeneous ideal of $R .$ Let $h^{i} (R)_{n}$ denote the length of $H_{M}^{i} (R)_{n}$ …

Mixed multiplicities of ideals versus mixed volumes of polytopes

On fiber cones of m-primary ideals

Bound on the a-invariant and reduction numbers of ideals

On fiber cones of $m$ -primary ideals