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7 papers
On the Hilbert-Samuel coefficients of Frobenius powers of an ideal
Arindam Banerjee, Kriti Goel, J. K. Verma
We provide suitable conditions under which the asymptotic limit of the Hilbert-Samuel coefficients of the Frobenius powers of an -primary ideal exists in a Noetherian…
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…
On the Vanishing of the normal Hilbert coefficients of ideals
Kriti Goel, Vivek Mukundan, J. K. Verma
Using vanishing of graded components of local cohomology modules of the Rees algebra of the normal filtration of an ideal, we give bounds on the normal reduction number. This helps…
The Minkowski equality and inequality for multiplicity of ideals
Kriti Goel, R. V. Gurjar, J. K. Verma
In this exposition of the equality and inequality of Minkowski for multiplicity of ideals, we provide simple algebraic and geometric proofs. Connections with mixed multiplicities o…
Tight Closure of powers of ideals and tight Hilbert polynomials
Kriti Goel, Vivek Mukundan, J. K. Verma
Let be an analytically unramified local ring of positive prime characteristic For an ideal , let denote its tight closure. We introduce the tight Hi…