11 citations · 42 across the 23 of their papers we have counts for
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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…
Motivic stable homotopy groups
Daniel C. Isaksen, Paul Arne Østvær
We survey computations of stable motivic homotopy groups over various fields. The main tools are the motivic Adams spectral sequence, the motivic Adams-Novikov spectral sequence, a…
A1 contractibility of affine modifications
Adrien Dubouloz, Sabrina Pauli, Paul Arne Østvær
We introduce Koras-Russell fiber bundles over algebraically closed fields of characteristic zero. After a single suspension, this exhibits an infinite family of smooth affine A1-co…