21 citations · 22 across the 9 of their papers we have counts for
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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…
On fiber cones of -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 -dimensional Cohen-Macaulay local ring $(R,\m)$ are der…
Bound on the a-invariant and reduction numbers of ideals
Clare D'Cruz, Vijay Kodiyalam, Jugal. K. Verma
Let be a -dimensional standard graded ring over an Artin local ring. Let be the unique maximal homogeneous ideal of Let denote the length of …
Fiber cones of ideals with almost minimal multiplicity
A. V. Jayanthan, J. K. Verma
Fiber cones of 0-dimensional ideals with almost minimal multiplicity in Cohen-Macaulay local rings are studied. Ratliff-Rush closure of filtration of ideals with respect to another…
Cohen-Macaulay fiber cones
Clare D'Cruz, K. N. Raghavan, J. K. Verma
Cohen Macaulay property of fiber cones of ideals is characterized in terms of its Hilbert series. Hilbert series of fiber cones of ideals with minimal mixed multiplicity is calcula…
On a Theorem of Macaulay on Colons of Ideals
J. K. Verma
A theorem of Macaulay on colons of ideals in polynomial rings is proved for homogeneous Gorenstein algebras.