K. McKinnie

activity

20072026

most citedBrauer groups on K3 surfaces and arithmetic applications

18 citations · 29 across the 15 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AC2017

The $u^{n}$ -invariant and the Symbol Length of $H_{2}^{n} (F)$

Adam Chapman, Kelly McKinnie

Given a field $F$ of $char (F) = 2$ , we define $u^{n} (F)$ to be the maximal dimension of an anisotropic form in $I_{q}^{n} F$ . For $n = 1$ it recaptures the definition of $u(F)…

math.RA2017

Essential Dimension of Generic Symbols in Characteristic p

Kelly McKinnie

In this article the $p$ -essential dimension of generic symbols over fields of characteristic $p$ is studied. In particular, the $p$ -essential dimension of the length $ℓ$ generic…

math.RA2017

Kato-Milne Cohomology and Polynomial Forms

Adam Chapman, Kelly McKinnie

Given a prime number $p$ , a field $F$ with $char (F) = p$ and a positive integer $n$ , we study the class-preserving modifications of Kato-Milne classes of decomposable…

The un-invariant and the Symbol Length of H2n​(F)

Essential Dimension of Generic Symbols in Characteristic p

Kato-Milne Cohomology and Polynomial Forms

The $u^{n}$ -invariant and the Symbol Length of $H_{2}^{n} (F)$