D. Hoffmann

activity

20042026

most citedTotaro's question for G_2, F_4, and E_6

8 citations · 11 across the 6 of their papers we have counts for

collaborators

8 papers

math.NT2026

Nonsimilar half-neighbors over fields of characteristic 2

Detlev W. Hoffmann, Magnus Wiedeking

The total isotropy index of a quadratic form $φ$ over a field $F$ is the maximum dimension of any totally isotropic subspace of $φ$ . If $φ$ is anisotropic and $ψ$ is another anisot…

math.RA2020

Splitting of quaternions and octonions over purely inseparable extensions in characteristic 2

Detlev W. Hoffmann

We give examples of quaternion and octonion division algebras over a field $F$ of characteristic $2$ that split over a purely inseparable extension $E$ of $F$ of degree $\geq 4$ bu…

math.NT2020

Similarity of quadratic and symmetric bilinear forms in characteristic 2

Detlev W. Hoffmann

We say that a field extension $L / F$ has the descent property for isometry (resp. similarity) of quadratic or symmetric bilinear forms if any two forms defined over $F$ that become…

math.NT2019

Sums of integers and sums of their squares

Detlev W. Hoffmann

Suppose a positive integer $n$ is written as a sum of squares of $m$ integers. What can one say about the value $T$ of the sum of these $m$ integers itself? Which $T$ can be obtain…

math.AC2014★ 1 cited

Witt kernels and Brauer kernels for quartic extensions in characteristic two

Detlev W. Hoffmann, Marco Sobiech

Let $F$ be a field of characteristic $2$ and let $E / F$ be a field extension of degree $4$ . We determine the kernel $W_{q} (E / F)$ of the restriction map $W_{q} F \to W_{q} E$ between the Witt…

math.AC2014★ 2 cited

Witt kernels of quadratic forms for multiquadratic extensions in characteristic 2

Detlev W. Hoffmann

Let $F$ be a field of characteristic $2$ and let $K / F$ be a purely inseparable extension of exponent $1$ . We show that the extension is excellent for quadratic forms. Using the exc…