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Østvær, Paul Arne

Author ID: ostvaer.paul-arne Recent zbMATH articles by "Østvær, Paul Arne"
Published as: Østvær, Paul Arne; Østvær, P. A.; Østvær, Paul
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Publications by Year

Citations contained in zbMATH Open

58 Publications have been cited 463 times in 230 Documents Cited by Year
Modules over motivic cohomology. Zbl 1180.14015
Röndigs, Oliver; Østvær, Paul Arne
42
2008
Motivic functors. Zbl 1042.55006
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne
27
2003
The motivic Steenrod algebra in positive characteristic. Zbl 1386.14087
Hoyois, Marc; Kelly, Shane; Østvær, Paul Arne
26
2017
The first stable homotopy groups of motivic spheres. Zbl 1406.14018
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul
24
2019
Enriched functors and stable homotopy theory. Zbl 1040.55002
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne
21
2003
Rigidity in motivic homotopy theory. Zbl 1180.14014
Röndigs, Oliver; Østvær, Paul Arne
19
2008
Motivic slices and coloured operads. Zbl 1258.18012
Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
19
2012
Slices of Hermitian \(K\)-theory and Milnor’s conjecture on quadratic forms. Zbl 1416.19001
Röndigs, Oliver; Østvær, Paul
17
2016
The Bott inverted infinite projective space is homotopy algebraic \(K\)-theory. Zbl 1213.55006
Spitzweck, Markus; Østvær, Paul Arne
15
2009
Motives and modules over motivic cohomology. Zbl 1097.14016
Röndigs, Oliver; Østvær, Paul Arne
14
2006
The homotopy limit problem for two-primary algebraic \(K\)-theory. Zbl 1096.55005
Rosenschon, Andreas; Østvær, Paul Arne
13
2005
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.
13
2007
Motivic twisted \(K\)-theory. Zbl 1282.14040
Spitzweck, Markus; Østvær, Paul Arne
12
2012
Stable motivic \(\pi_1\) of low-dimensional fields. Zbl 1304.55008
Ormsby, Kyle M.; Østvær, Paul Arne
11
2014
Two-complete stable motivic stems over finite fields. Zbl 1361.14020
Wilson, Glen Matthew; Østvær, Paul
11
2017
Triangulated categories of logarithmic motives over a field. Zbl 1512.14001
Binda, Federico; Park, Doosung; Østvær, Paul Arne
11
2022
Motivic homotopy theory of group scheme actions. Zbl 1331.14027
Heller, Jeremiah; Krishna, Amalendu; Østvær, Paul Arne
10
2015
Motivic strict ring models for \(K\)-theory. Zbl 1209.14018
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
10
2010
Étale descent for real number fields. Zbl 1023.19003
Østvær, Paul Arne
9
2003
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.
9
2015
On very effective Hermitian \(K\)-theory. Zbl 1453.14064
Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne
9
2020
Homotopy theory of \(C^*\)-algebras. Zbl 1213.46072
Østvær, Paul Arne
8
2010
Equivariant cycles and cancellation for motivic cohomology. Zbl 1336.14019
Heller, J.; Voineagu, M.; Østvær, P. A.
7
2015
Nisnevich descent for \(K\)-theory of Deligne-Mumford stacks. Zbl 1284.19005
Krishna, Amalendu; Østvær, Paul Arne
6
2012
Existence and uniqueness of \(E_\infty\) structures on motivic \(K\)-theory spectra. Zbl 1326.14054
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne
6
2015
\(\mathbb{A}^1\)-contractibility of Koras-Russell threefolds. Zbl 1369.14031
Hoyois, Marc; Krishna, Amalendu; Østvær, Paul Arne
6
2016
Motivic stable homotopy groups. Zbl 1476.55035
Isaksen, Daniel C.; Østvær, Paul Arne
6
2020
Motivic Brown-Peterson invariants of the rationals. Zbl 1276.55023
Ormsby, Kyle M.; Østvær, Paul
6
2013
The motivic Hopf map solves the homotopy limit problem for \(K\)-theory. Zbl 1423.14157
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
6
2018
Hermitian \(K\)-theory and 2-regularity for totally real number fields. Zbl 1254.19006
Berrick, A. Jon; Karoubi, Max; Østvær, Paul Arne
5
2011
Chern classes, \(K\)-Theory and Landweber exactness over nonregular base schemes. Zbl 1190.14022
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne
5
2009
\(\mathbb{A}^1\)-contractibility of affine modifications. Zbl 1436.14043
Dubouloz, Adrien; Pauli, Sabrina; Østvær, Paul Arne
5
2019
Periodicity of Hermitian \(K\)-groups. Zbl 1254.19005
Berrick, A. J.; Karoubi, M.; Østvær, P. A.
4
2011
Two-primary algebraic \(K\)-theory of two-regular number fields. Zbl 0943.19002
Rognes, John; Østvær, Paul Arne
4
2000
Wild kernels at the prime 2. Zbl 1076.11058
Østvær, Paul Arne
4
2004
Descent for \(K\)-theories. Zbl 1094.19003
Rosenschon, Andreas; Østvær, P. A.
4
2006
Topological comparison theorems for Bredon motivic cohomology. Zbl 1442.14080
Heller, J.; Voineagu, M.; Østvær, P. A.
4
2019
Rigidity for equivariant \(K\)-theory. Zbl 1187.19004
Yagunov, Serge; Østvær, Paul Arne
3
2009
Rigidity for pseudo pretheories. Zbl 1105.14020
Rosenschon, Andreas; Østvær, Paul Arne
3
2006
The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory. Zbl 1352.14013
Röndigs, Oliver; Østvær, Paul Arne
3
2016
A norm principle in higher algebraic \(K\)-theory. Zbl 1070.11052
Østvær, Paul Arne
3
2003
Calculation of two-primary algebraic \({\mathcal K}\)-theory of some group rings. Zbl 0923.19003
Østvær, Paul Arne
2
1999
\(K\)-theory of curves over number fields. Zbl 1023.19002
Rosenschon, Andreas; Østvær, Paul Arne
2
2003
The homotopy type of two-regular \(K\)-theory. Zbl 1049.19002
Hodgkin, Luke; Østvær, Paul Arne
2
2004
Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in number fields. Zbl 1456.11221
Kylling, Jonas Irgens; Röndigs, Oliver; Østvær, Paul Arne
2
2020
Motives and homotopy theory in logarithmic geometry. Zbl 1489.14016
Binda, Federico; Park, Doosung; Østvær, Paul Arne
2
2022
Framed motivic \(\Gamma \)-spaces. Zbl 07733647
Garkusha, Grigory A.; Panin, Ivan A.; Østvær, Paul Arne
2
2023
A Bott inverted model for equivariant unitary topological \(K\)-theory. Zbl 1213.19004
Spitzweck, Markus; Østvær, Paul Arne
1
2010
Vanishing in stable motivic homotopy sheaves. Zbl 1406.14017
Ormsby, Kyle; Röndigs, Oliver; Østvær, Paul Arne
1
2018
Algebraic K-theory spectra of non-exceptional two-regular number fields. Zbl 0974.19002
Østvær, Paul Arne
1
2000
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 functorial (co)localization of algebras and modules over operads. Zbl 1487.18020
Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
1
2021
Cellularity of Hermitian \(K\)-theory and Witt-theory. Zbl 1451.19013
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
1
2019
Homotopy theory of cyclic presheaves. Zbl 1215.55009
Seteklev, Sigurd; Østvær, Paul Arne
1
2010
Universality of mod-\(p\) cohomology. Zbl 1209.55003
Spitzweck, Markus; Østvær, Paul Arne
1
2010
\(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey. Zbl 1478.14001
Asok, Aravind; Østvær, Paul Arne
1
2021
Rigidity for equivariant pseudo pretheories. Zbl 1423.14062
Heller, Jeremiah; Ravi, Charanya; Østvær, Paul Arne
1
2018
Framed motivic \(\Gamma \)-spaces. Zbl 07733647
Garkusha, Grigory A.; Panin, Ivan A.; Østvær, Paul Arne
2
2023
Triangulated categories of logarithmic motives over a field. Zbl 1512.14001
Binda, Federico; Park, Doosung; Østvær, Paul Arne
11
2022
Motives and homotopy theory in logarithmic geometry. Zbl 1489.14016
Binda, Federico; Park, Doosung; Østvær, Paul Arne
2
2022
On functorial (co)localization of algebras and modules over operads. Zbl 1487.18020
Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
1
2021
\(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey. Zbl 1478.14001
Asok, Aravind; Østvær, Paul Arne
1
2021
On very effective Hermitian \(K\)-theory. Zbl 1453.14064
Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne
9
2020
Motivic stable homotopy groups. Zbl 1476.55035
Isaksen, Daniel C.; Østvær, Paul Arne
6
2020
Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in number fields. Zbl 1456.11221
Kylling, Jonas Irgens; Röndigs, Oliver; Østvær, Paul Arne
2
2020
The first stable homotopy groups of motivic spheres. Zbl 1406.14018
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul
24
2019
\(\mathbb{A}^1\)-contractibility of affine modifications. Zbl 1436.14043
Dubouloz, Adrien; Pauli, Sabrina; Østvær, Paul Arne
5
2019
Topological comparison theorems for Bredon motivic cohomology. Zbl 1442.14080
Heller, J.; Voineagu, M.; Østvær, P. A.
4
2019
Cellularity of Hermitian \(K\)-theory and Witt-theory. Zbl 1451.19013
Röndigs, Oliver; Spitzweck, Markus; 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
6
2018
Vanishing in stable motivic homotopy sheaves. Zbl 1406.14017
Ormsby, Kyle; Röndigs, Oliver; Østvær, Paul Arne
1
2018
Rigidity for equivariant pseudo pretheories. Zbl 1423.14062
Heller, Jeremiah; Ravi, Charanya; Østvær, Paul Arne
1
2018
The motivic Steenrod algebra in positive characteristic. Zbl 1386.14087
Hoyois, Marc; Kelly, Shane; Østvær, Paul Arne
26
2017
Two-complete stable motivic stems over finite fields. Zbl 1361.14020
Wilson, Glen Matthew; Østvær, Paul
11
2017
Slices of Hermitian \(K\)-theory and Milnor’s conjecture on quadratic forms. Zbl 1416.19001
Röndigs, Oliver; Østvær, Paul
17
2016
\(\mathbb{A}^1\)-contractibility of Koras-Russell threefolds. Zbl 1369.14031
Hoyois, Marc; Krishna, Amalendu; Østvær, Paul Arne
6
2016
The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory. Zbl 1352.14013
Röndigs, Oliver; Østvær, Paul Arne
3
2016
Motivic homotopy theory of group scheme actions. Zbl 1331.14027
Heller, Jeremiah; Krishna, Amalendu; Østvær, Paul Arne
10
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.
9
2015
Equivariant cycles and cancellation for motivic cohomology. Zbl 1336.14019
Heller, J.; Voineagu, M.; Østvær, P. A.
7
2015
Existence and uniqueness of \(E_\infty\) structures on motivic \(K\)-theory spectra. Zbl 1326.14054
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne
6
2015
Stable motivic \(\pi_1\) of low-dimensional fields. Zbl 1304.55008
Ormsby, Kyle M.; Østvær, Paul Arne
11
2014
Motivic Brown-Peterson invariants of the rationals. Zbl 1276.55023
Ormsby, Kyle M.; Østvær, Paul
6
2013
Motivic slices and coloured operads. Zbl 1258.18012
Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne
19
2012
Motivic twisted \(K\)-theory. Zbl 1282.14040
Spitzweck, Markus; Østvær, Paul Arne
12
2012
Nisnevich descent for \(K\)-theory of Deligne-Mumford stacks. Zbl 1284.19005
Krishna, Amalendu; Østvær, Paul Arne
6
2012
Hermitian \(K\)-theory and 2-regularity for totally real number fields. Zbl 1254.19006
Berrick, A. Jon; Karoubi, Max; Østvær, Paul Arne
5
2011
Periodicity of Hermitian \(K\)-groups. Zbl 1254.19005
Berrick, A. J.; Karoubi, M.; Østvær, P. A.
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
A Bott inverted model for equivariant unitary topological \(K\)-theory. Zbl 1213.19004
Spitzweck, Markus; Østvær, Paul Arne
1
2010
Homotopy theory of cyclic presheaves. Zbl 1215.55009
Seteklev, Sigurd; Østvær, Paul Arne
1
2010
Universality of mod-\(p\) cohomology. Zbl 1209.55003
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
15
2009
Chern classes, \(K\)-Theory and Landweber exactness over nonregular base schemes. Zbl 1190.14022
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne
5
2009
Rigidity for equivariant \(K\)-theory. Zbl 1187.19004
Yagunov, Serge; Østvær, Paul Arne
3
2009
Modules over motivic cohomology. Zbl 1180.14015
Röndigs, Oliver; Østvær, Paul Arne
42
2008
Rigidity in motivic homotopy theory. Zbl 1180.14014
Röndigs, Oliver; Østvær, Paul Arne
19
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.
13
2007
Motives and modules over motivic cohomology. Zbl 1097.14016
Röndigs, Oliver; Østvær, Paul Arne
14
2006
Descent for \(K\)-theories. Zbl 1094.19003
Rosenschon, Andreas; Østvær, P. A.
4
2006
Rigidity for pseudo pretheories. Zbl 1105.14020
Rosenschon, Andreas; Østvær, Paul Arne
3
2006
The homotopy limit problem for two-primary algebraic \(K\)-theory. Zbl 1096.55005
Rosenschon, Andreas; Østvær, Paul Arne
13
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
2
2004
Motivic functors. Zbl 1042.55006
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne
27
2003
Enriched functors and stable homotopy theory. Zbl 1040.55002
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne
21
2003
Étale descent for real number fields. Zbl 1023.19003
Østvær, Paul Arne
9
2003
A norm principle in higher algebraic \(K\)-theory. Zbl 1070.11052
Østvær, Paul Arne
3
2003
\(K\)-theory of curves over number fields. Zbl 1023.19002
Rosenschon, Andreas; Østvær, Paul Arne
2
2003
Two-primary algebraic \(K\)-theory of two-regular number fields. Zbl 0943.19002
Rognes, John; Østvær, Paul Arne
4
2000
Algebraic K-theory spectra of non-exceptional two-regular number fields. Zbl 0974.19002
Østvær, Paul Arne
1
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 205 Authors

33 Østvær, Paul Arne
15 Röndigs, Oliver
10 Levine, Marc Noel
9 Garkusha, Grigory
9 Spitzweck, Markus
8 Ormsby, Kyle M.
7 Bachmann, Tom
7 Heller, Jeremiah
7 Hoyois, Marc
6 Asok, Aravind
6 Binda, Federico
6 Pelaez, Pablo
6 Weibel, Charles A.
5 Fasel, Jean
5 Karoubi, Max
5 Panin, Ivan A.
5 Tabuada, Gonçalo
4 Ananyevskiy, Alexey
4 Berrick, A. Jon
4 Déglise, Frédéric
4 Isaksen, Daniel C.
4 Krishna, Amalendu
4 Ravi, Charanya
4 Rosenschon, Andreas
4 Schlichting, Marco
4 White, David
3 Biedermann, Georg
3 Casacuberta, Carles
3 Druzhinin, Andreĭ É.
3 Elmanto, Elden
3 Gutiérrez, Javier J.
3 Kelly, Shane P.
3 Khan, Adeel A.
3 Kolderup, Håkon
3 Kong, Hana Jia
3 Merling, Mona
3 Quigley, James D.
3 Rognes, John
3 Rosický, Jiří
3 Strunk, Florian
3 Voineagu, Mircea Alexandru
3 Yau, Donald Y.
2 Batanin, Michael A.
2 Chorny, Boris
2 Cisinski, Denis-Charles
2 Culver, Dominic Leon
2 Dubouloz, Adrien
2 Geisser, Thomas H.
2 Gepner, David
2 Gheorghe, Bogdan
2 Heard, Drew
2 Hemminger, David R.
2 Hess, Kathryn P.
2 Hesselholt, Lars
2 Horel, Geoffroy
2 Hornbostel, Jens
2 Huber-Klawitter, Annette
2 Jones, Darren
2 Joshua, Roy
2 Kerz, Moritz C.
2 Mahanta, Snigdhayan
2 Mathew, Akhil
2 Merici, Alberto
2 Naumann, Niko
2 Neshitov, Alexander
2 Nikolaus, Thomas
2 Park, Doosung
2 Primozic, Eric
2 Ramras, Daniel A.
2 Saito, Shuji
2 Sosnilo, Vladimir Aleksandrovich
2 Tanania, Fabio
2 Williams, Ben
2 Yakerson, Maria
2 Yang, Yaping
2 Zhao, Gufang
2 Zibrowius, Marcus
1 Al Hwaeer, Hassan
1 Annala, Toni M.
1 Ayoub, Joseph
1 Balchin, Scott
1 Banaszak, Grzegorz
1 Bandklayder, Lauren
1 Beaudry, Agnès
1 Beilinson, Alexander A.
1 Belmont, Eva
1 Berger, Clemens
1 Berglund, Alexander
1 Bergner, Julie
1 Blumberg, Andrew J.
1 Bondarko, Mikhail Vladimirovich
1 Bunk, Severin
1 Bunke, Ulrich
1 Caputo, Luca
1 Carlsson, Gunnar E.
1 Carmody, Daniel
1 Ching, Michael
1 Choudhury, Utsav
1 Clausen, Dustin
1 Dai, Shouxin
...and 105 more Authors
all top 5

Cited in 59 Serials

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

Citations by Year

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