21 citations · 22 across the 9 of their papers we have counts for
6 papers · 1 filter
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.
Local cohomology modules of bigraded Rees algebras
A. V. Jayanthan, J. K. Verma
Formulas are obtained in terms of complete reductions for the bigraded components of local cohomology modules of bigraded Rees algebras of 0-dimensional ideals in 2-dimensional Coh…
Hilbert coefficients and depth of fiber cones
A. V. Jayanthan, J. K. Verma
Criteria are given in terms of certain Hilbert coefficients for the fiber cone F(I) of an m-primary ideal I in a Cohen-Macaulay local ring (R,m) so that it is Cohen-Macaulay or has…
Hilbert coefficients and depths of form rings
A. V. Jayanthan, Balwant Singh, J. K. Verma
We present short and elementary proofs of two theorems of Huckaba and Marley, while generalizing them at the same time to the case of a module. The theorems concern a characterizat…