Browsing Matematisk institutt by Author "Østvær, Paul Arne"
Now showing items 1-15 of 15
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Østvær, Paul Arne (Research report / Forskningsrapport, 1999)
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Østvær, Paul Arne (Research report / Forskningsrapport, 1999)
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Cornacchia, Pietro; Østvær, Paul Arne (Research report / Forskningsrapport, 1998)
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Østvær, Paul Arne; Röndigs, Oliver; Spitzweck, Markus (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)We compute the 1-line of stable homotopy groups of motivic spheres over fields of characteristic not two in terms of hermitian and Milnor K-groups. This is achieved by solving questions about convergence and differentials ...
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Østvær, Paul Arne (Research report / Forskningsrapport, 1999)
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Østvær, Paul Arne (Research report / Forskningsrapport, 1999)
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Østvær, Paul Arne (Research report / Forskningsrapport, 1999)
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Østvær, Paul Arne (Research report / Forskningsrapport, 1999)
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Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)We argue that the very effective cover of hermitian K-theory in the sense of motivic homotopy theory is a convenient algebro-geometric generalization of the connective real topological K-theory spectrum. This means the ...
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Heller, Jeremiah; Ravi, Charanya; Østvær, Paul Arne (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)We prove versions of the Suslin and Gabber rigidity theorems in the setting of equivariant pseudo pretheories of smooth schemes over a field with an action of a finite group. Examples include equivariant algebraic K-theory, ...
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Østvær, Paul Arne; Röndigs, Oliver; Spitzweck, Markus (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2018)We solve affirmatively the homotopy limit problem for (effective) -theory over fields of finite virtual cohomological dimension. Our solution uses the motivic slice filtration and the first motivic Hopf map.
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Østvær, Paul Arne; Hoyois, Marc; Kelly, Shane (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)© European Mathematical Society 2017
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Østvær, Paul Arne; Heller, Jeremiah; Voineagu, Mircea (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)
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Wilson, Glen Matthew; Østvær, Paul Arne (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)Let ℓ be a prime and q=pν, where p is a prime different from ℓ. We show that the ℓ–completion of the nth stable homotopy group of spheres is a summand of the ℓ–completion of the (n,0) motivic stable homotopy group of spheres ...
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Rognes, John; Østvær, Paul Arne (Research report / Forskningsrapport, 1999)