46 citations · 60 across the 18 of their papers we have counts for
19 papers
Numerical characterizations for integral dependence of graded modules
Suprajo Das, Sudeshna Roy, Vijaylaxmi Trivedi
In this paper we construct {\em adic}, {\em saturated} and -density functions for a torsion-free module in a graded setup. Then we give some simple criteria for checki…
The canonical trace of determinantal rings
Antonino Ficarra, Jürgen Herzog, Dumitru I. Stamate +1
We compute the canonical trace of generic determinantal rings and provide a sufficient condition for the trace to specialize. As an application we determine the canonical trace $\m…
HK multiplicity, -threshold and the Paley-Wiener theorem
Vijaylaxmi Trivedi
For a given algebraically closed field of characteristic we consider the set , of graded isomorphism classes of {\em standard graded pairs} , wher…
The Hilbert-Kunz density functions of quadric hypersurfaces
Vijaylaxmi Trivedi
We show that the Hilbert-Kunz density function of a quadric hypersurface of Krull dimension is a piecewise polynomial on a subset of , whose complement in ha…
The lower bound on the HK multiplicities of quadric hypersurfaces
Vijaylaxmi Trivedi
Here we prove that the Hilbert-Kunz mulitiplicity of a quadric hypersurface of dimension and odd characteristic is bounded below by , where is the $d^…
-thresholds for projective curves
Vijaylaxmi Trivedi
We show that if is a two dimensional standard graded ring (with the graded maximal ideal ) of characteristic and is a graded ideal with $\ell(R/I) <…