8 citations · 10 across the 7 of their papers we have counts for
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Multiplicity of the saturated special fiber ring of height three Gorenstein ideals
Yairon Cid-Ruiz, Vivek Mukundan
Let be a polynomial ring over a field and be a Gorenstein ideal of height three that is minimally generated by homogeneous polynomials of the same degree. We comp…
Expected resurgences and symbolic powers of ideals
Eloísa Grifo, Craig Huneke, Vivek Mukundan
We give explicit criteria that imply the resurgence of a self-radical ideal in a regular ring is strictly smaller than its codimension, which in turn implies that the stable versio…
Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers
Kriti Goel, Vivek Mukundan, Sudeshna Roy +1
We present a package 'MixedMultiplicity' for computing mixed multiplicities of ideals in a Noetherian ring which is either local or a standard graded algebra over a field. This ena…
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…
Diagonal Subalgebras of Residual Intersections
H. Ananthnarayan, Neeraj Kumar, Vivek Mukundan
Let be a field, be a bigraded -algebra, and denote the diagonal subalgebra of corresponding to . It is k…