Avinash Kulkarni

activity

20172021

most citedAn arithmetic invariant theory of curves from

E_{8}

3 citations · 3 across the 3 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.AG2019

On the eigenpoints of cubic surfaces

Türkü Özlüm Celik, Francesco Galuppi, Avinash Kulkarni +1

We show that the eigenschemes of $4 \times 4 \times 4$ symmetric tensors are parametrized by a linear subvariety of the Grassmannian $Gr (3, P^{14})$ . We also…

math.AG2019

$p$ -adic Integral Geometry

Avinash Kulkarni, Antonio Lerario

We prove a $p$ -adic version of the Integral Geometry Formula for averaging the intersection of two $p$ -adic projective algebraic sets. We apply this result to give bounds on the nu…

math.NA2019

Solving p-adic polynomial systems via iterative eigenvector algorithms

Avinash Kulkarni

In this article, we describe an implementation of a polynomial system solver to compute the approximate solutions of a 0-dimensional polynomial system with finite precision p-adic…

On the eigenpoints of cubic surfaces

p-adic Integral Geometry

Solving p-adic polynomial systems via iterative eigenvector algorithms

$p$ -adic Integral Geometry