Fatma Kader Bingol

collaborators

3 papers

math.RA2025

Triality over fields with $I^{3} = 0$

Fatma Kader BingÃ¶l, Anne QuÃ©guiner-Mathieu

We characterize isotropic trialitarian triples in terms of the Schur indices of the underlying algebras over a base field $F$ of arbitrary characteristic satisfying $I_{q}^{3} F = 0$ . We…

math.NT2025

Essential dimension of sequences of quadratic Pfister forms

Fatma Kader BingÃ¶l, Adam Chapman, Ahmed Laghribi

We study the essential dimension of the set of isometry classes of $m$ -tuples $(I ¨ _{1}, ..., I ¨ _{m})$ of quadratic $n$ -fold Pfister forms over a field $F$ such that the Witt class of $Ï…

math.NT2025

Bounds on the hermitian u-invariants under quadratic field extensions

Karim Johannes Becher, Fatma Kader BingÃ¶l

The hermitian u-invariants of a central simple algebra with involution are studied. In this context, a new technique is obtained to give bounds for the behavior of these invariants…

Triality over fields with I3=0

Essential dimension of sequences of quadratic Pfister forms

Bounds on the hermitian u-invariants under quadratic field extensions

Triality over fields with $I^{3} = 0$