23 citations · 34 across the 15 of their papers we have counts for
4 papers · 2 filters
Most totally real fields do not have universal forms or Northcott property
Nicolas Daans, Vitezslav Kala, Siu Hang Man +2
We show that, in the space of all totally real fields equipped with the constructible topology, the set of fields that admit a universal quadratic form, or have the Northcott prope…
Failures of integral Springer's Theorem
Nicolas Daans, Vítězslav Kala, Jakub Krásenský +1
We discuss the phenomenon where an element in a number field is not integrally represented by a given positive definite quadratic form, but becomes integrally represented by this f…
Universally defining subrings in function fields
Nicolas Daans, Philip Dittmann
We establish that all rings of -integers are universally definable in function fields in one variable over certain ground fields including global and non-archimedean local field…
Linkage of Pfister forms over semi-global fields
Nicolas Daans
We study linkage of -fold quadratic Pfister forms over function fields in one variable over a henselian valued field of 2-cohomological dimension . Specifically, we chara…