Jonas Irgens Kylling

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20172019

most citedFramed correspondences and the zeroth stable motivic homotopy group in odd characteristic

9 citations · 22 across the 5 of their papers we have counts for

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math.KT2018★ 3 cited

Hermitian $K$ -theory, Dedekind $ζ$ -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 $K$ -groups of rin…

math.KT2018★ 9 cited

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…

Hermitian K-theory, Dedekind ζ-functions, and quadratic forms over rings of integers in number fields

Framed correspondences and the zeroth stable motivic homotopy group in odd characteristic

Hermitian $K$ -theory, Dedekind $ζ$ -functions, and quadratic forms over rings of integers in number fields