23 citations · 34 across the 15 of their papers we have counts for
4 papers · 2 filters
Existentially defining valuations in function fields over large fields
Nicolas Daans
Let be a large field such that is not algebraically closed and a function field in one variable. Extending techniques and results from earlier work with Be…
Decidability of polynomial equations over function fields in positive characteristic
Nicolas Daans
Let be a field of positive characteristic with no algebraically closed subfield. Let be a function field over and transcendental over . Refining a result o…
The u-invariant of function fields in one variable
Karim Johannes Becher, Nicolas Daans, Vlerë Mehmeti
The u-invariant of a field is the largest dimension of an anisotropic quadratic torsion form over the field. In this article we obtain a bound on the u-invariant of function fields…
Pythagoras numbers for infinite algebraic fields
Nicolas Daans, Stevan Gajović, Siu Hang Man +1
We prove that the Pythagoras number of the ring of integers of the compositum of all real quadratic fields is infinite. The same holds for certain infinite totally real cyclotomic…