43 citations · 129 across the 22 of their papers we have counts for
4 papers · 1 filter
Slices of hermitian K-theory and Milnor's conjecture on quadratic forms
Oliver Röndigs, Paul Arne Østvær
We advance the understanding of K-theory of quadratic forms by computing the slices of the motivic spectra representing hermitian K-groups and Witt-groups. By an explicit computati…
Stable motivic pi_1 of low-dimensional fields
Kyle M. Ormsby, Paul Arne Østvær
Let k be a field with cohomological dimension less than 3; we call such fields low-dimensional. Examples include algebraically closed fields, finite fields and function fields ther…
The motivic Steenrod algebra in positive characteristic
Marc Hoyois, Shane Kelly, Paul Arne Østvær
Let S be an essentially smooth scheme over a field and l a prime number invertible on S. We show that the algebra of bistable operations in the mod l motivic cohomology of smooth S…
Equivariant cycles and cancellation for motivic cohomology
Jeremiah Heller, Mircea Voineagu, Paul Arne Ostvaer
We introduce a Bredon motivic cohomology theory for smooth schemes defined over a field and equipped with an action by a finite group. These cohomology groups are defined for finit…