136 citations · 534 across the 27 of their papers we have counts for
6 papers · 1 filter
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…
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.
On the codimension of the singular locus
David Kazhdan, Tamar Ziegler
Let be a field and an -vector space. For a family of polynomials on , we denote by the subscheme de…
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 -vector spaces. In the fi…
Extending weakly polynomial functions from high rank varieties
David Kazhdan, Tamar Ziegler
Let be a field, a -vector space and be a subset of . A function is weakly polynomial of degree , if the restriction of on any affine subsp…
On ranks of polynomials
David Kazhdan, Tamar Ziegler
Let be a vector space over a field . We show the existence of a function such that for any field , a finite-d…