1 citations · 1 across the 7 of their papers we have counts for
7 papers
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…
Graded rings associated with contracted ideals
Aldo Conca, Emanuela De Negri, A. V. Jayanthan +1
By definition, an $\m$-primary ideal in a 2-dimensional regular local ring $(R, \m)$ is contracted if $I=R \cap IR[\m/x]$ for some $x \in \m \setminus \m^2$. Contracted ideals…
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…
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…
Grothendieck-Serre formula and bigraded Cohen-Macaulay Rees algebras
A. V. Jayanthan, J. K. Verma
The Grothendieck-Serre formula for the difference between the Hilbert function and Hilbert polynomial of a graded algebra is generalized for bigraded standard algebras. This is use…
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…