T. Ziegler

activity

20162021

most citedOn the Schmidt and analytic ranks for trilinear forms

11 citations · 15 across the 2 of their papers we have counts for

collaborators

8 papers

math.AG2021★ 11 cited

On the Schmidt and analytic ranks for trilinear forms

Karim Adiprasito, David Kazhdan, Tamar Ziegler

We discuss relations between different notions of ranks for multilinear forms. In particular we show that the Schmidt and the analytic ranks for trilinear forms are essentially pro…

math.AG2020

Applications of Algebraic Combinatorics to Algebraic Geometry

David Kazhdan, Tamar Ziegler

We formulate a number of new results in Algebraic Geometry and outline their derivation from Theorem 2.12 which belongs to Algebraic Combinatorics.

math.AG2019

On the codimension of the singular locus

David Kazhdan, Tamar Ziegler

Let $k$ be a field and $V$ an $k$ -vector space. For a family $P ˉ = {P_{i}}_{1 \leq i \leq c},$ of polynomials on $V$ , we denote by $X_{P ˉ} \subset V$ the subscheme de…

math.AG2019

Properties of high rank subvarieties of affine spaces

David Kazhdan, Tamar Ziegler

We use tools of additive combinatorics for the study of subvarieties defined by {\it high rank} families of polynomials in high dimensional $F_{q}$ -vector spaces. In the fi…

math.AG2018

Extending weakly polynomial functions from high rank varieties

David Kazhdan, Tamar Ziegler

Let $k$ be a field, $V$ a $k$ -vector space and $X$ be a subset of $V$ . A function $f : X \to k$ is weakly polynomial of degree $\leq a$ , if the restriction of $f$ on any affine subsp…

math.AG2018

On ranks of polynomials

David Kazhdan, Tamar Ziegler

Let $V$ be a vector space over a field $k, P : V \to k, d \geq 3$ . We show the existence of a function $C (r, d)$ such that $r ank (P) \leq C (r, d)$ for any field $k, c ha r (k) > d$ , a finite-d…