V. Trivedi

activity

20042026

most citedSemistability and Hilbert-Kunz multiplicities for curves

46 citations · 60 across the 18 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AC2021★ 1 cited

HK multiplicity, $F$ -threshold and the Paley-Wiener theorem

Vijaylaxmi Trivedi

For a given algebraically closed field $k$ of characteristic $p > 0$ we consider the set $C_{k}$ , of graded isomorphism classes of {\em standard graded pairs} $(R, I)$ , wher…

math.AG2021

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 $n + 1$ is a piecewise polynomial on a subset of $[0, n]$ , whose complement in $[0, n]$ ha…

math.AG2021

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 $d$ and odd characteristic $p \geq 2 d - 4$ is bounded below by $1 + m_{d}$ , where $m_{d}$ is the $d^…

HK multiplicity, F-threshold and the Paley-Wiener theorem

The Hilbert-Kunz density functions of quadric hypersurfaces

The lower bound on the HK multiplicities of quadric hypersurfaces

HK multiplicity, $F$ -threshold and the Paley-Wiener theorem