Adam Chapman

activity

20112024

most citedA Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos

78 citations · 165 across the 30 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.AC2019

Linkage of sets of Quaternion Algebras in characteristic 2

Adam Chapman

This note contains two new observations on the linkage properties of quaternion algebras over fields of characteristic 2: first, that a 3-linked field need not be 4-linked (a case…

math.RA2019★ 2 cited

Essential Dimension, Symbol Length and $p$ -rank

Adam Chapman, Kelly McKinnie

We prove that the essential dimension of central simple algebras of degree $p^{ℓ m}$ and exponent $p^{m}$ over fields $F$ containing a base-field $k$ of characteristic $p$ is at l…

math.RA2019

Field of Iterated Laurent Series and its Brauer Group

Adam Chapman

The symbol length of $_{p} B r (k ((α_{1})) \dots ((α_{n})))$ for an algebraically closed field $k$ of $char (k) \neq = p$ is known to be $⌊ \frac{n}{2} ⌋$ . W…

math.AC2019★ 6 cited

Linkage of Pfister forms over $C (x_{1}, \dots, x_{n})$

Adam Chapman, Jean-Pierre Tignol

In this note, we prove the existence of a set of $n$ -fold Pfister forms of cardinality $2^{n}$ over $C (x_{1}, \dots, x_{n})$ which do not share a common $(n - 1)$ -fold factor. This…

math.RA2019

Linkage of Symbol $p$ -Algebras of Degree 3

Adam Chapman

Given a field $F$ of characteristic $3$ and division symbol $p$ -algebras $[α, β)_{3, F}$ and $[α, γ)_{3, F}$ of degree $3$ over $F$ , we prove that if $α\text{dlog}(β)\wedge \text{dlog}…

Linkage of sets of Quaternion Algebras in characteristic 2

Essential Dimension, Symbol Length and p-rank

Field of Iterated Laurent Series and its Brauer Group

Linkage of Pfister forms over C(x1​,…,xn​)

Linkage of Symbol p-Algebras of Degree 3

Essential Dimension, Symbol Length and $p$ -rank

Linkage of Pfister forms over $C (x_{1}, \dots, x_{n})$

Linkage of Symbol $p$ -Algebras of Degree 3