2 papers
math.RA2026
Normal Quaternionic Matrices and Finitely Generated Witt Rings
Nico Lorenz, Alexander Schönert, Alexander Schönert
We present a new approach to verify the Elementary Type Conjecture for abstract Witt rings with small number of square classes. To do so, we make use of an abstract analogue of the…
math.NT2024
On Generalised Albert Forms over Discretely Valued Fields
Nico Lorenz
For a discrete valuation ring with quotient field and residue field both of characteristic not 2, we study low-dimensional quadratic forms with Witt class in the -th…