8 citations · 10 across the 4 of their papers we have counts for
9 papers
Valuations and Nonzero Torsion in Module of Differentials
Sarasij Maitra, Vivek Mukundan
Let be a one-dimensional complete local reduced -algebra over a field of characteristic zero. R. Berger conjectured that is regular if and only if the…
Torsion in Differentials and Berger's Conjecture
Craig Huneke, Sarasij Maitra, Vivek Mukundan
Let be an equicharacteristic one-dimensional complete local domain over an algebraically closed field of characteristic 0. R. Berger conj…
Expected resurgence of ideals defining Gorenstein rings
Eloísa Grifo, Craig Huneke, Vivek Mukundan
Building on previous work by the same authors, we show that certain ideals defining Gorenstein rings have expected resurgence, and thus satisfy the stable Harbourne Conjecture. In…
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…
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…