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Østvær, Paul Arne

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Author ID: ostvaer.paul-arne Recent zbMATH articles by "Østvær, Paul Arne"
Published as: Østvær, P. A.; Østvær, Paul; Østvær, Paul Arne
External Links: MGP · Wikidata
Documents Indexed: 62 Publications since 1999, including 4 Books

Publications by Year

Citations contained in zbMATH

47 Publications have been cited 279 times in 152 Documents Cited by Year
Modules over motivic cohomology. Zbl 1180.14015
Röndigs, Oliver; Østvær, Paul Arne
33
2008
Motivic functors. Zbl 1042.55006
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne
17
2003
Rigidity in motivic homotopy theory. Zbl 1180.14014
Röndigs, Oliver; Østvær, Paul Arne
16
2008
Enriched functors and stable homotopy theory. Zbl 1040.55002
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne
16
2003
Motives and modules over motivic cohomology. Zbl 1097.14016
Röndigs, Oliver; Østvær, Paul Arne
13
2006
The Bott inverted infinite projective space is homotopy algebraic \(K\)-theory. Zbl 1213.55006
Spitzweck, Markus; Østvær, Paul Arne
11
2009
The motivic Steenrod algebra in positive characteristic. Zbl 1386.14087
Hoyois, Marc; Kelly, Shane; Østvær, Paul Arne
10
2017
Slices of Hermitian \(K\)-theory and Milnor’s conjecture on quadratic forms. Zbl 1416.19001
Röndigs, Oliver; Østvær, Paul
10
2016
Motivic slices and coloured operads. Zbl 1258.18012
Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
10
2012
Motivic strict ring models for \(K\)-theory. Zbl 1209.14018
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
10
2010
The homotopy limit problem for two-primary algebraic \(K\)-theory. Zbl 1096.55005
Rosenschon, Andreas; Østvær, Paul Arne
10
2005
Stable motivic \(\pi_1\) of low-dimensional fields. Zbl 1304.55008
Ormsby, Kyle M.; Østvær, Paul Arne
8
2014
Homotopy theory of \(C^*\)-algebras. Zbl 1213.46072
Østvær, Paul Arne
8
2010
Étale descent for real number fields. Zbl 1023.19003
Østvær, Paul Arne
8
2003
Motivic homotopy theory of group scheme actions. Zbl 1331.14027
Heller, Jeremiah; Krishna, Amalendu; Østvær, Paul Arne
7
2015
The homotopy fixed point theorem and the Quillen-Lichtenbaum conjecture in Hermitian \(K\)-theory. Zbl 1346.19006
Berrick, A. J.; Karoubi, M.; Schlichting, M.; Østvær, P. A.
7
2015
Equivariant cycles and cancellation for motivic cohomology. Zbl 1336.14019
Heller, J.; Voineagu, M.; Østvær, P. A.
6
2015
Motivic twisted \(K\)-theory. Zbl 1282.14040
Spitzweck, Markus; Østvær, Paul Arne
6
2012
Motivic homotopy theory. Lectures at a summer school in Nordfjordeid, Norway, August 2002. Zbl 1118.14001
Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver; Voevodsky, V.
6
2007
The first stable homotopy groups of motivic spheres. Zbl 1406.14018
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul
5
2019
Existence and uniqueness of \(E_\infty\) structures on motivic \(K\)-theory spectra. Zbl 1326.14054
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne
5
2015
Nisnevich descent for \(K\)-theory of Deligne-Mumford stacks. Zbl 1284.19005
Krishna, Amalendu; Østvær, Paul Arne
5
2012
Motivic Brown-Peterson invariants of the rationals. Zbl 1276.55023
Ormsby, Kyle M.; Østvær, Paul
4
2013
Periodicity of Hermitian \(K\)-groups. Zbl 1254.19005
Berrick, A. J.; Karoubi, M.; Østvær, P. A.
4
2011
Hermitian \(K\)-theory and 2-regularity for totally real number fields. Zbl 1254.19006
Berrick, A. Jon; Karoubi, Max; Østvær, Paul Arne
4
2011
Chern classes, \(K\)-Theory and Landweber exactness over nonregular base schemes. Zbl 1190.14022
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne
4
2009
Wild kernels at the prime 2. Zbl 1076.11058
Østvær, Paul Arne
4
2004
Two-complete stable motivic stems over finite fields. Zbl 1361.14020
Wilson, Glen Matthew; Østvær, Paul
3
2017
Rigidity for pseudo pretheories. Zbl 1105.14020
Rosenschon, Andreas; Østvær, Paul Arne
3
2006
Two-primary algebraic \(K\)-theory of two-regular number fields. Zbl 0943.19002
Rognes, John; Østvær, Paul Arne
3
2000
Topological comparison theorems for Bredon motivic cohomology. Zbl 1442.14080
Heller, J.; Voineagu, M.; Østvær, P. A.
2
2019
\(\mathbb{A}^1\)-contractibility of Koras-Russell threefolds. Zbl 1369.14031
Hoyois, Marc; Krishna, Amalendu; Østvær, Paul Arne
2
2016
The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory. Zbl 1352.14013
Röndigs, Oliver; Østvær, Paul Arne
2
2016
Rigidity for equivariant \(K\)-theory. Zbl 1187.19004
Yagunov, Serge; Østvær, Paul Arne
2
2009
\(K\)-theory of curves over number fields. Zbl 1023.19002
Rosenschon, Andreas; Østvær, Paul Arne
2
2003
Calculation of two-primary algebraic \({\mathcal K}\)-theory of some group rings. Zbl 0923.19003
Østvær, Paul Arne
2
1999
On very effective Hermitian \(K\)-theory. Zbl 1453.14064
Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne
1
2020
\(\mathbb{A}^1\)-contractibility of affine modifications. Zbl 1436.14043
Dubouloz, Adrien; Pauli, Sabrina; Østvær, Paul Arne
1
2019
The motivic Hopf map solves the homotopy limit problem for \(K\)-theory. Zbl 1423.14157
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
1
2018
Universality of mod-\(p\) cohomology. Zbl 1209.55003
Spitzweck, Markus; Østvær, Paul Arne
1
2010
Homotopy theory of cyclic presheaves. Zbl 1215.55009
Seteklev, Sigurd; Østvær, Paul Arne
1
2010
A Bott inverted model for equivariant unitary topological \(K\)-theory. Zbl 1213.19004
Spitzweck, Markus; Østvær, Paul Arne
1
2010
Descent for \(K\)-theories. Zbl 1094.19003
Rosenschon, Andreas; Østvær, P. A.
1
2006
The homotopy type of two-regular \(K\)-theory. Zbl 1049.19002
Hodgkin, Luke; Østvær, Paul Arne
1
2004
A norm principle in higher algebraic \(K\)-theory. Zbl 1070.11052
Østvær, Paul Arne
1
2003
On the Coates-Sinnott conjecture. Zbl 1076.11515
Cornacchia, Pietro; Østvær, Paul Arne
1
2000
On two-primary algebraic \(K\)-theory of quadratic number rings with focus on \(K_2\). Zbl 0931.11052
Crainic, Marius; Østvær, Paul Arne
1
1999
On very effective Hermitian \(K\)-theory. Zbl 1453.14064
Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne
1
2020
The first stable homotopy groups of motivic spheres. Zbl 1406.14018
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul
5
2019
Topological comparison theorems for Bredon motivic cohomology. Zbl 1442.14080
Heller, J.; Voineagu, M.; Østvær, P. A.
2
2019
\(\mathbb{A}^1\)-contractibility of affine modifications. Zbl 1436.14043
Dubouloz, Adrien; Pauli, Sabrina; Østvær, Paul Arne
1
2019
The motivic Hopf map solves the homotopy limit problem for \(K\)-theory. Zbl 1423.14157
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
1
2018
The motivic Steenrod algebra in positive characteristic. Zbl 1386.14087
Hoyois, Marc; Kelly, Shane; Østvær, Paul Arne
10
2017
Two-complete stable motivic stems over finite fields. Zbl 1361.14020
Wilson, Glen Matthew; Østvær, Paul
3
2017
Slices of Hermitian \(K\)-theory and Milnor’s conjecture on quadratic forms. Zbl 1416.19001
Röndigs, Oliver; Østvær, Paul
10
2016
\(\mathbb{A}^1\)-contractibility of Koras-Russell threefolds. Zbl 1369.14031
Hoyois, Marc; Krishna, Amalendu; Østvær, Paul Arne
2
2016
The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory. Zbl 1352.14013
Röndigs, Oliver; Østvær, Paul Arne
2
2016
Motivic homotopy theory of group scheme actions. Zbl 1331.14027
Heller, Jeremiah; Krishna, Amalendu; Østvær, Paul Arne
7
2015
The homotopy fixed point theorem and the Quillen-Lichtenbaum conjecture in Hermitian \(K\)-theory. Zbl 1346.19006
Berrick, A. J.; Karoubi, M.; Schlichting, M.; Østvær, P. A.
7
2015
Equivariant cycles and cancellation for motivic cohomology. Zbl 1336.14019
Heller, J.; Voineagu, M.; Østvær, P. A.
6
2015
Existence and uniqueness of \(E_\infty\) structures on motivic \(K\)-theory spectra. Zbl 1326.14054
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne
5
2015
Stable motivic \(\pi_1\) of low-dimensional fields. Zbl 1304.55008
Ormsby, Kyle M.; Østvær, Paul Arne
8
2014
Motivic Brown-Peterson invariants of the rationals. Zbl 1276.55023
Ormsby, Kyle M.; Østvær, Paul
4
2013
Motivic slices and coloured operads. Zbl 1258.18012
Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
10
2012
Motivic twisted \(K\)-theory. Zbl 1282.14040
Spitzweck, Markus; Østvær, Paul Arne
6
2012
Nisnevich descent for \(K\)-theory of Deligne-Mumford stacks. Zbl 1284.19005
Krishna, Amalendu; Østvær, Paul Arne
5
2012
Periodicity of Hermitian \(K\)-groups. Zbl 1254.19005
Berrick, A. J.; Karoubi, M.; Østvær, P. A.
4
2011
Hermitian \(K\)-theory and 2-regularity for totally real number fields. Zbl 1254.19006
Berrick, A. Jon; Karoubi, Max; Østvær, Paul Arne
4
2011
Motivic strict ring models for \(K\)-theory. Zbl 1209.14018
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
10
2010
Homotopy theory of \(C^*\)-algebras. Zbl 1213.46072
Østvær, Paul Arne
8
2010
Universality of mod-\(p\) cohomology. Zbl 1209.55003
Spitzweck, Markus; Østvær, Paul Arne
1
2010
Homotopy theory of cyclic presheaves. Zbl 1215.55009
Seteklev, Sigurd; Østvær, Paul Arne
1
2010
A Bott inverted model for equivariant unitary topological \(K\)-theory. Zbl 1213.19004
Spitzweck, Markus; Østvær, Paul Arne
1
2010
The Bott inverted infinite projective space is homotopy algebraic \(K\)-theory. Zbl 1213.55006
Spitzweck, Markus; Østvær, Paul Arne
11
2009
Chern classes, \(K\)-Theory and Landweber exactness over nonregular base schemes. Zbl 1190.14022
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne
4
2009
Rigidity for equivariant \(K\)-theory. Zbl 1187.19004
Yagunov, Serge; Østvær, Paul Arne
2
2009
Modules over motivic cohomology. Zbl 1180.14015
Röndigs, Oliver; Østvær, Paul Arne
33
2008
Rigidity in motivic homotopy theory. Zbl 1180.14014
Röndigs, Oliver; Østvær, Paul Arne
16
2008
Motivic homotopy theory. Lectures at a summer school in Nordfjordeid, Norway, August 2002. Zbl 1118.14001
Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver; Voevodsky, V.
6
2007
Motives and modules over motivic cohomology. Zbl 1097.14016
Röndigs, Oliver; Østvær, Paul Arne
13
2006
Rigidity for pseudo pretheories. Zbl 1105.14020
Rosenschon, Andreas; Østvær, Paul Arne
3
2006
Descent for \(K\)-theories. Zbl 1094.19003
Rosenschon, Andreas; Østvær, P. A.
1
2006
The homotopy limit problem for two-primary algebraic \(K\)-theory. Zbl 1096.55005
Rosenschon, Andreas; Østvær, Paul Arne
10
2005
Wild kernels at the prime 2. Zbl 1076.11058
Østvær, Paul Arne
4
2004
The homotopy type of two-regular \(K\)-theory. Zbl 1049.19002
Hodgkin, Luke; Østvær, Paul Arne
1
2004
Motivic functors. Zbl 1042.55006
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne
17
2003
Enriched functors and stable homotopy theory. Zbl 1040.55002
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne
16
2003
Étale descent for real number fields. Zbl 1023.19003
Østvær, Paul Arne
8
2003
\(K\)-theory of curves over number fields. Zbl 1023.19002
Rosenschon, Andreas; Østvær, Paul Arne
2
2003
A norm principle in higher algebraic \(K\)-theory. Zbl 1070.11052
Østvær, Paul Arne
1
2003
Two-primary algebraic \(K\)-theory of two-regular number fields. Zbl 0943.19002
Rognes, John; Østvær, Paul Arne
3
2000
On the Coates-Sinnott conjecture. Zbl 1076.11515
Cornacchia, Pietro; Østvær, Paul Arne
1
2000
Calculation of two-primary algebraic \({\mathcal K}\)-theory of some group rings. Zbl 0923.19003
Østvær, Paul Arne
2
1999
On two-primary algebraic \(K\)-theory of quadratic number rings with focus on \(K_2\). Zbl 0931.11052
Crainic, Marius; Østvær, Paul Arne
1
1999
all top 5

Cited by 143 Authors

27 Østvær, Paul Arne
12 Röndigs, Oliver
8 Levine, Marc Noel
7 Ormsby, Kyle M.
7 Spitzweck, Markus
6 Heller, Jeremiah
6 Weibel, Charles A.
5 Hoyois, Marc
5 Karoubi, Max
5 Pelaez, Pablo
5 Tabuada, Gonçalo
4 Asok, Aravind
4 Berrick, A. Jon
4 Garkusha, Grigory
4 Krishna, Amalendu
4 Rosenschon, Andreas
3 Ananyevskiy, Alexey
3 Biedermann, Georg
3 Déglise, Frédéric
3 Fasel, Jean
3 Mahanta, Snigdhayan
3 Rosický, Jiří
3 Schlichting, Marco
3 Voineagu, Mircea Alexandru
3 White, David
2 Bachmann, Tom
2 Casacuberta, Carles
2 Chorny, Boris
2 Cisinski, Denis-Charles
2 Dubouloz, Adrien
2 Gepner, David
2 Gutiérrez, Javier J.
2 Hess, Kathryn P.
2 Hornbostel, Jens
2 Isaksen, Daniel C.
2 Kelly, Shane
2 Khan, Adeel A.
2 Merling, Mona
2 Panin, Ivan A.
2 Ramras, Daniel A.
2 Ravi, Charanya
2 Rognes, John
2 Strunk, Florian
2 Williams, Ben
2 Yau, Donald Y.
1 Al Hwaeer, Hassan
1 Ayoub, Joseph
1 Balchin, Scott
1 Banaszak, Grzegorz
1 Batanin, Michael A.
1 Beaudry, Agnès
1 Beilinson, Alexander A.
1 Berger, Clemens
1 Berglund, Alexander
1 Binda, Federico
1 Blumberg, Andrew J.
1 Bondarko, Mikhail Vladimirovich
1 Brun, Mats Kirkesæther
1 Bunke, Ulrich
1 Caputo, Luca
1 Ching, Michael
1 Dai, Shouxin
1 Druzhinin, Andreĭ É.
1 Dugger, Daniel
1 Dundas, Bjørn Ian
1 Ellis, Dondi
1 Elmanto, Elden
1 Geisser, Thomas H.
1 Gheorghe, Bogdan
1 Hall, Jack
1 Harper, John E.
1 Hausmann, Markus
1 Heard, Drew
1 Herrmann, Philip
1 Hesselholt, Lars
1 Hoefel, Eduardo
1 Holmstrom, Andreas
1 Horel, Geoffroy
1 Hu, Po
1 Huber-Klawitter, Annette
1 Hutchinson, Kevin
1 Iwanari, Isamu
1 Jin, Fangzhou
1 Joachimi, Ruth
1 Jones, Darren
1 Kahn, Bruno
1 Kai, Wataru
1 Kapranov, Mikhail M.
1 Kazhdan, David A.
1 Kȩdziorek, Magdalena
1 Kerz, Moritz C.
1 Kihara, Hiroshi
1 Kim, Youngsoo
1 Kock, Joachim
1 Kříž, Igor
1 Kurihara, Masato
1 Lawson, Tyler Douglas
1 Livernet, Muriel
1 Lück, Wolfgang
1 Merkur’ev, Aleksandr Sergeevich
...and 43 more Authors
all top 5

Cited in 49 Serials

17 Advances in Mathematics
12 Journal of Pure and Applied Algebra
9 Journal of \(K\)-Theory
8 Algebraic & Geometric Topology
7 Transactions of the American Mathematical Society
5 Compositio Mathematica
5 Journal of Algebra
5 Mathematische Zeitschrift
5 Documenta Mathematica
4 Mathematische Annalen
4 Geometry & Topology
4 Journal of Homotopy and Related Structures
4 Journal of Topology
3 \(K\)-Theory
3 Journal of the American Mathematical Society
3 Applied Categorical Structures
3 Annals of Mathematics. Second Series
3 Annals of \(K\)-Theory
2 Bulletin of the London Mathematical Society
2 Inventiones Mathematicae
2 Journal of Number Theory
2 Topology and its Applications
2 Forum Mathematicum
2 Journal of Algebraic Geometry
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of the Institute of Mathematics of Jussieu
2 Forum of Mathematics, Sigma
1 Israel Journal of Mathematics
1 Russian Mathematical Surveys
1 Acta Mathematica Vietnamica
1 Duke Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Mathematica Scandinavica
1 Michigan Mathematical Journal
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 International Journal of Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 St. Petersburg Mathematical Journal
1 Selecta Mathematica. New Series
1 Theory and Applications of Categories
1 Journal of the European Mathematical Society (JEMS)
1 Oberwolfach Reports
1 Journal of Noncommutative Geometry
1 Journal of Topology and Analysis
1 Forum of Mathematics, Pi
1 European Journal of Mathematics
1 Journal de l’École Polytechnique – Mathématiques
1 Higher Structures

Citations by Year

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