9 citations · 22 across the 5 of their papers we have counts for
5 papers
Algebraic cobordism of number fields
Jonas Irgens Kylling
We compute the motivic homotopy groups of algebraic cobordism over number fields, the motivic homotopy groups of 2-complete algebraic cobordism over the real numbers and rings of $…
Strong convergence in the motivic Adams spectral sequence
Jonas Irgens Kylling, Glen Matthew Wilson
We prove strong convergence results for the motivic Adams spectral sequence of the sphere spectrum over fields with finite virtual cohomological dimension at the prime 2, and over…
Hermitian -theory, Dedekind -functions, and quadratic forms over rings of integers in number fields
Jonas Irgens Kylling, Oliver Röndigs, Paul Arne Østvær
We employ the slice spectral sequence, the motivic Steenrod algebra, and Voevodsky's solutions of the Milnor and Bloch-Kato conjectures to calculate the hermitian -groups of rin…
Framed correspondences and the zeroth stable motivic homotopy group in odd characteristic
Andrei Druzhinin, Jonas Irgens Kylling
We extend the results of G.~Garkusha and I.~Panin on framed motives of algebraic varieties [4] to the case of a finite base field, and extend the computation of the zeroth cohomolo…
Recursive formulas for the motivic Milnor basis
Jonas Irgens Kylling
We give recursive formulas for the generating elements in the Milnor basis of the mod 2 motivic Steenrod algebra.