41 citations · 80 across the 23 of their papers we have counts for
25 papers
Computing mixed multiplicities, mixed volumes, and sectional Milnor numbers
Kriti Goel, Vivek Mukundan, Sudeshna Roy +1
This is an expository version of our paper [arXiv:1902.07384]. Our aim is to present recent Macaulay2 algorithms for computation of mixed multiplicities of ideals in a Noetherian r…
Associated graded rings of the filtration of tight closure of powers of parameter ideals
Saipriya Dubey, Jugal K. Verma
Let be an ideal generated by a system of parameters in an excellent Cohen-Macaulay local domain. We show that the associated graded ring of the filtration $\{(I^n)^*:…
Tight Hilbert Polynomial and F-rational local rings
Saipriya Dubey, Pham Hung Quy, Jugal Verma
Let be a Noetherian local ring of prime characteristic and be an -primary parameter ideal. We give criteria for F-rationality of using…
Tight closure of powers of parameter ideals in hypersurface rings and their tight Hilbert polynomials
Saipriya Dubey, Vivek Mukundan, Jugal Verma
In this paper we find the tight closure of powers of parameter ideals of certain diagonal hypersurface rings. In many cases the associated graded ring with respect to tight closure…
Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex
Arindam Banerjee, Kriti Goel, J. K. Verma
Let be the face ring of a simplicial complex of dimension and be the Rees algebra of the maximal homogeneous ideal of We…
Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra
Kriti Goel, Mitra Koley, J. K. Verma
We prove that the Hilbert-Kunz function of the ideal of the Rees algebra , where is an -primary ideal of a -dimensional local ring $(R…