P. Østvær

activity

20092026

most citedSlices of hermitian K-theory and Milnor's conjecture on quadratic forms

43 citations · 129 across the 22 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AG2017★ 5 cited

Algebraic Cobordism and Étale Cohomology

Elden Elmanto, Marc Levine, Markus Spitzweck +1

Thomason's étale descent theorem for Bott periodic algebraic $K$ -theory \cite{aktec} is generalized to any $M G L$ module over a regular Noetherian scheme of finite dimension. Over a…

math.AT2017

Vanishing in stable motivic homotopy sheaves

Kyle Ormsby, Oliver Röndigs, Paul Arne Østvær

We determine systematic regions in which the bigraded homotopy sheaves of the motivic sphere spectrum vanish.

math.KT2017★ 1 cited

The motivic Hopf map solves the homotopy limit problem for $K$ -theory

Oliver Röndigs, Markus Spitzweck, Paul Arne Østvær

We solve affirmatively the homotopy limit problem for $K$ -theory over fields of finite virtual cohomological dimension. Our solution employs the motivic slice filtration and the fi…

Algebraic Cobordism and Étale Cohomology

Vanishing in stable motivic homotopy sheaves

The motivic Hopf map solves the homotopy limit problem for K-theory

The motivic Hopf map solves the homotopy limit problem for $K$ -theory