Binda, Federico; Lundemo, Tommy; Park, Doosung; Østvær, Paul Arne A Hochschild-Kostant-Rosenberg theorem and residue sequences for logarithmic Hochschild homology. (English) Zbl 07797716 Adv. Math. 435, Part A, Article ID 109354, 66 p. (2023). MSC: 13D03 14A21 14F42 19D55 PDFBibTeX XMLCite \textit{F. Binda} et al., Adv. Math. 435, Part A, Article ID 109354, 66 p. (2023; Zbl 07797716) Full Text: DOI arXiv
Garkusha, Grigory A.; Panin, Ivan A.; Østvær, Paul Arne Framed motivic \(\Gamma \)-spaces. (English. Russian original) Zbl 07733647 Izv. Math. 87, No. 1, 1-28 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 1, 3-32 (2023). MSC: 14F42 55N30 55P42 PDFBibTeX XMLCite \textit{G. A. Garkusha} et al., Izv. Math. 87, No. 1, 1--28 (2023; Zbl 07733647); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 1, 3--32 (2023) Full Text: DOI arXiv MNR
Elmanto, Elden; Levine, Marc; Spitzweck, Markus; Østvær, Paul Arne Algebraic cobordism and étale cohomology. (English) Zbl 1527.14042 Geom. Topol. 26, No. 2, 477-586 (2022). Reviewer: James D. Quigley (Ithaca) MSC: 14F20 14F42 19E15 19D55 55P42 55P43 PDFBibTeX XMLCite \textit{E. Elmanto} et al., Geom. Topol. 26, No. 2, 477--586 (2022; Zbl 1527.14042) Full Text: DOI arXiv
Binda, Federico; Park, Doosung; Østvær, Paul Arne Motives and homotopy theory in logarithmic geometry. (English. French summary) Zbl 1489.14016 C. R., Math., Acad. Sci. Paris 360, 717-727 (2022). MSC: 14C25 14A23 14F42 PDFBibTeX XMLCite \textit{F. Binda} et al., C. R., Math., Acad. Sci. Paris 360, 717--727 (2022; Zbl 1489.14016) Full Text: DOI
Binda, Federico; Park, Doosung; Østvær, Paul Arne Triangulated categories of logarithmic motives over a field. (English) Zbl 1512.14001 Astérisque 433. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-957-9/pbk). ix, 267 p. (2022). Reviewer: Simon Felten (New York) MSC: 14-02 14A21 14A30 14F42 18N40 18N55 18F10 18G35 19E15 PDFBibTeX XMLCite \textit{F. Binda} et al., Triangulated categories of logarithmic motives over a field. Paris: Société Mathématique de France (SMF) (2022; Zbl 1512.14001) Full Text: arXiv
Bachmann, Tom; Østvær, Paul Arne Topological models for stable motivic invariants of regular number rings. (English) Zbl 1490.14033 Forum Math. Sigma 10, Paper No. e1, 27 p. (2022). Reviewer: Niels Feld (Toulouse) MSC: 14F35 14F42 19E15 55P42 PDFBibTeX XMLCite \textit{T. Bachmann} and \textit{P. A. Østvær}, Forum Math. Sigma 10, Paper No. e1, 27 p. (2022; Zbl 1490.14033) Full Text: DOI arXiv
Déglise, Frédéric; Dubouloz, Adrien; Østvær, Paul Arne Punctured tubular neighborhoods and stable homotopy at infinity. arXiv:2206.01564 Preprint, arXiv:2206.01564 [math.AG] (2022). MSC: 14F42 19E15 55P42 14F45 55P57 BibTeX Cite \textit{F. Déglise} et al., ``Punctured tubular neighborhoods and stable homotopy at infinity'', Preprint, arXiv:2206.01564 [math.AG] (2022) Full Text: arXiv OA License
Dundas, Bjørn Ian; Hill, Michael A.; Ormsby, Kyle; Østvær, Paul Arne Hochschild homology of mod-\(p\) motivic cohomology over algebraically closed fields. arXiv:2204.00441 Preprint, arXiv:2204.00441 [math.AG] (2022). MSC: 14F42 19E15 19D55 BibTeX Cite \textit{B. I. Dundas} et al., ``Hochschild homology of mod-$p$ motivic cohomology over algebraically closed fields'', Preprint, arXiv:2204.00441 [math.AG] (2022) Full Text: arXiv OA License
Heller, Jeremiah; Voineagu, Mircea; Østvær, Paul Arne Bredon motivic cohomology of the complex numbers. arXiv:2202.12366 Preprint, arXiv:2202.12366 [math.AG] (2022). MSC: 14F42 55P91 BibTeX Cite \textit{J. Heller} et al., ``Bredon motivic cohomology of the complex numbers'', Preprint, arXiv:2202.12366 [math.AG] (2022) Full Text: arXiv OA License
Asok, Aravind; Østvær, Paul Arne \(\mathbb{A}^1\)-homotopy theory and contractible varieties: a survey. (English) Zbl 1478.14001 Neumann, Frank (ed.) et al., Homotopy theory and arithmetic geometry – motivic and Diophantine aspects. LMS-CMI research school, London, UK, July 9–13, 2018. Lecture notes. Cham: Springer. Lect. Notes Math. 2292, 145-212 (2021). MSC: 14-01 14F42 14F35 19E15 55P42 PDFBibTeX XMLCite \textit{A. Asok} and \textit{P. A. Østvær}, Lect. Notes Math. 2292, 145--212 (2021; Zbl 1478.14001) Full Text: DOI arXiv
Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne On functorial (co)localization of algebras and modules over operads. (English) Zbl 1487.18020 Abh. Math. Semin. Univ. Hamb. 91, No. 2, 153-178 (2021). Reviewer: Donald Yau (Newark) MSC: 18M60 18N40 55P43 14F42 PDFBibTeX XMLCite \textit{J. J. Gutiérrez} et al., Abh. Math. Semin. Univ. Hamb. 91, No. 2, 153--178 (2021; Zbl 1487.18020) Full Text: DOI arXiv
Dubouloz, Adrien; Déglise, Frédéric; Østvær, Paul Arne Stable motivic homotopy theory at infinity. arXiv:2104.03222 Preprint, arXiv:2104.03222 [math.AG] (2021). MSC: 14F42 19E15 55P42 14F45 55P57 BibTeX Cite \textit{A. Dubouloz} et al., ``Stable motivic homotopy theory at infinity'', Preprint, arXiv:2104.03222 [math.AG] (2021) Full Text: arXiv OA License
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne The second stable homotopy groups of motivic spheres. arXiv:2103.17116 Preprint, arXiv:2103.17116 [math.AG] (2021). MSC: 14F42 19D45 19E15 55P42 BibTeX Cite \textit{O. Röndigs} et al., ``The second stable homotopy groups of motivic spheres'', Preprint, arXiv:2103.17116 [math.AG] (2021) Full Text: arXiv OA License
Isaksen, Daniel C.; Østvær, Paul Arne Motivic stable homotopy groups. (English) Zbl 1476.55035 Miller, Haynes (ed.), Handbook of homotopy theory. Boca Raton, FL: CRC Press. CRC Press/Chapman Hall Handb. Math. Ser., 757-791 (2020). MSC: 55Q45 14F42 55T15 55-02 PDFBibTeX XMLCite \textit{D. C. Isaksen} and \textit{P. A. Østvær}, in: Handbook of homotopy theory. Boca Raton, FL: CRC Press. 757--791 (2020; Zbl 1476.55035) Full Text: DOI arXiv Link
Kylling, Jonas Irgens; Röndigs, Oliver; Østvær, Paul Arne Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in number fields. (English) Zbl 1456.11221 Camb. J. Math. 8, No. 3, 505-607 (2020). MSC: 11R70 11R42 14F42 19E15 19F27 PDFBibTeX XMLCite \textit{J. I. Kylling} et al., Camb. J. Math. 8, No. 3, 505--607 (2020; Zbl 1456.11221) Full Text: DOI arXiv
Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne On very effective Hermitian \(K\)-theory. (English) Zbl 1453.14064 Math. Z. 294, No. 3-4, 1021-1034 (2020). MSC: 14F42 19G38 PDFBibTeX XMLCite \textit{A. Ananyevskiy} et al., Math. Z. 294, No. 3--4, 1021--1034 (2020; Zbl 1453.14064) Full Text: DOI arXiv
Bachmann, Tom; Calmès, Baptiste; Déglise, Frédéric; Fasel, Jean; Østvær, Paul Arne Milnor-Witt Motives. arXiv:2004.06634 Preprint, arXiv:2004.06634 [math.AG] (2020). MSC: 11E70 13D15 14F42 19E15 19G38 11E81 14A99 14C35 19D45 BibTeX Cite \textit{T. Bachmann} et al., ``Milnor-Witt Motives'', Preprint, arXiv:2004.06634 [math.AG] (2020) Full Text: arXiv OA License
Dubouloz, Adrien; Pauli, Sabrina; Østvær, Paul Arne \(\mathbb{A}^1\)-contractibility of affine modifications. (English) Zbl 1436.14043 Int. J. Math. 30, No. 14, Article ID 1950069, 34 p. (2019). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 14L30 14R20 19E15 PDFBibTeX XMLCite \textit{A. Dubouloz} et al., Int. J. Math. 30, No. 14, Article ID 1950069, 34 p. (2019; Zbl 1436.14043) Full Text: DOI arXiv
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul The first stable homotopy groups of motivic spheres. (English) Zbl 1406.14018 Ann. Math. (2) 189, No. 1, 1-74 (2019). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 55Q45 PDFBibTeX XMLCite \textit{O. Röndigs} et al., Ann. Math. (2) 189, No. 1, 1--74 (2019; Zbl 1406.14018) Full Text: DOI arXiv
Heller, J.; Voineagu, M.; Østvær, P. A. Topological comparison theorems for Bredon motivic cohomology. (English) Zbl 1442.14080 Trans. Am. Math. Soc. 371, No. 4, 2875-2921 (2019). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 19E15 55P42 55P91 PDFBibTeX XMLCite \textit{J. Heller} et al., Trans. Am. Math. Soc. 371, No. 4, 2875--2921 (2019; Zbl 1442.14080) Full Text: DOI arXiv
Heller, Jeremiah; Ravi, Charanya; Østvær, Paul Arne Rigidity for equivariant pseudo pretheories. (English) Zbl 1423.14062 J. Algebra 516, 373-395 (2018). MSC: 14C35 14F42 19E15 PDFBibTeX XMLCite \textit{J. Heller} et al., J. Algebra 516, 373--395 (2018; Zbl 1423.14062) Full Text: DOI arXiv Link
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne The motivic Hopf map solves the homotopy limit problem for \(K\)-theory. (English) Zbl 1423.14157 Doc. Math. 23, 1405-1424 (2018). MSC: 14F42 55P42 PDFBibTeX XMLCite \textit{O. Röndigs} et al., Doc. Math. 23, 1405--1424 (2018; Zbl 1423.14157) Full Text: DOI arXiv
Ormsby, Kyle; Röndigs, Oliver; Østvær, Paul Arne Vanishing in stable motivic homotopy sheaves. (English) Zbl 1406.14017 Forum Math. Sigma 6, Paper No. e3, 20 p. (2018). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 PDFBibTeX XMLCite \textit{K. Ormsby} et al., Forum Math. Sigma 6, Paper No. e3, 20 p. (2018; Zbl 1406.14017) Full Text: DOI arXiv
Hoyois, Marc; Kelly, Shane; Østvær, Paul Arne The motivic Steenrod algebra in positive characteristic. (English) Zbl 1386.14087 J. Eur. Math. Soc. (JEMS) 19, No. 12, 3813-3849 (2017). Reviewer: Tom Bachmann (Essen) MSC: 14F42 19E15 PDFBibTeX XMLCite \textit{M. Hoyois} et al., J. Eur. Math. Soc. (JEMS) 19, No. 12, 3813--3849 (2017; Zbl 1386.14087) Full Text: DOI arXiv
Wilson, Glen Matthew; Østvær, Paul Two-complete stable motivic stems over finite fields. (English) Zbl 1361.14020 Algebr. Geom. Topol. 17, No. 2, 1059-1104 (2017). Reviewer: Tom Bachmann (Essen) MSC: 14F42 18G15 55T15 14C35 PDFBibTeX XMLCite \textit{G. M. Wilson} and \textit{P. Østvær}, Algebr. Geom. Topol. 17, No. 2, 1059--1104 (2017; Zbl 1361.14020) Full Text: DOI arXiv
Fasel, Jean; Østvær, Paul Arne A cancellation theorem for Milnor-Witt correspondences. arXiv:1708.06098 Preprint, arXiv:1708.06098 [math.KT] (2017). MSC: 11E70 13D15 14F42 19E15 19G38 11E81 14A99 14C35 19D45 BibTeX Cite \textit{J. Fasel} and \textit{P. A. Østvær}, ``A cancellation theorem for Milnor-Witt correspondences'', Preprint, arXiv:1708.06098 [math.KT] (2017) Full Text: arXiv OA License
Hoyois, Marc; Krishna, Amalendu; Østvær, Paul Arne \(\mathbb{A}^1\)-contractibility of Koras-Russell threefolds. (English) Zbl 1369.14031 Algebr. Geom. 3, No. 4, 407-423 (2016). Reviewer: Tom Bachmann (Essen) MSC: 14F42 19E15 55P42 14R10 PDFBibTeX XMLCite \textit{M. Hoyois} et al., Algebr. Geom. 3, No. 4, 407--423 (2016; Zbl 1369.14031) Full Text: DOI arXiv
Röndigs, Oliver; Østvær, Paul Arne The multiplicative structure on the graded slices of Hermitian \(K\)-theory and Witt-theory. (English) Zbl 1352.14013 Homology Homotopy Appl. 18, No. 1, 373-380 (2016). Reviewer: Marcus Zibrowius (Düsseldorf) MSC: 14F42 19G38 PDFBibTeX XMLCite \textit{O. Röndigs} and \textit{P. A. Østvær}, Homology Homotopy Appl. 18, No. 1, 373--380 (2016; Zbl 1352.14013) Full Text: DOI
Röndigs, Oliver; Østvær, Paul Slices of Hermitian \(K\)-theory and Milnor’s conjecture on quadratic forms. (English) Zbl 1416.19001 Geom. Topol. 20, No. 2, 1157-1212 (2016). MSC: 19G38 11E70 11E04 14F42 55P42 55T05 PDFBibTeX XMLCite \textit{O. Röndigs} and \textit{P. Østvær}, Geom. Topol. 20, No. 2, 1157--1212 (2016; Zbl 1416.19001) Full Text: DOI arXiv
Heller, J.; Voineagu, M.; Østvær, P. A. Equivariant cycles and cancellation for motivic cohomology. (English) Zbl 1336.14019 Doc. Math. 20, 269-332 (2015). Reviewer: Tom Bachmann (München) MSC: 14F42 19E15 14C15 55N91 PDFBibTeX XMLCite \textit{J. Heller} et al., Doc. Math. 20, 269--332 (2015; Zbl 1336.14019) Full Text: arXiv EMIS
Heller, Jeremiah; Krishna, Amalendu; Østvær, Paul Arne Motivic homotopy theory of group scheme actions. (English) Zbl 1331.14027 J. Topol. 8, No. 4, 1202-1236 (2015). Reviewer: Tom Bachmann (München) MSC: 14F42 14L30 55P91 PDFBibTeX XMLCite \textit{J. Heller} et al., J. Topol. 8, No. 4, 1202--1236 (2015; Zbl 1331.14027) Full Text: DOI arXiv
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne Existence and uniqueness of \(E_\infty\) structures on motivic \(K\)-theory spectra. (English) Zbl 1326.14054 J. Homotopy Relat. Struct. 10, No. 3, 333-346 (2015). Reviewer: Steffen Sagave (Nijmegen) MSC: 14F42 19E15 55P43 PDFBibTeX XMLCite \textit{N. Naumann} et al., J. Homotopy Relat. Struct. 10, No. 3, 333--346 (2015; Zbl 1326.14054) Full Text: DOI arXiv
Østvær, Paul Arne \(K\)-theory and mapping spaces: an appendix to “Equivariant semi-topological \(K\)-homology and a theorem of Thomason”. (English) Zbl 1328.19008 J. \(K\)-Theory 13, No. 1, 1-8 (2014). MSC: 19E08 14F43 19L47 55P91 PDFBibTeX XMLCite \textit{P. A. Østvær}, J. \(K\)-Theory 13, No. 1, 1--8 (2014; Zbl 1328.19008) Full Text: DOI
Ormsby, Kyle M.; Østvær, Paul Arne Stable motivic \(\pi_1\) of low-dimensional fields. (English) Zbl 1304.55008 Adv. Math. 265, 97-131 (2014). Reviewer: Gereon Quick (Münster) MSC: 55T15 19E15 PDFBibTeX XMLCite \textit{K. M. Ormsby} and \textit{P. A. Østvær}, Adv. Math. 265, 97--131 (2014; Zbl 1304.55008) Full Text: DOI arXiv
Krishna, Amalendu; Ostvaer, Paul Arne Motivic homotopy of group scheme actions. arXiv:1403.1915 Preprint, arXiv:1403.1915 [math.AG] (2014). MSC: 14L30 55P91 BibTeX Cite \textit{A. Krishna} and \textit{P. A. Ostvaer}, ``Motivic homotopy of group scheme actions'', Preprint, arXiv:1403.1915 [math.AG] (2014) Full Text: arXiv OA License
Gutiérrez, Javier J.; Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne Motivic slices and coloured operads. (English) Zbl 1258.18012 J. Topol. 5, No. 3, 727-755 (2012). Reviewer: Benoît Fresse (Villeneuve d’Ascq) MSC: 18G55 14F42 55P43 18D50 14F35 PDFBibTeX XMLCite \textit{J. J. Gutiérrez} et al., J. Topol. 5, No. 3, 727--755 (2012; Zbl 1258.18012) Full Text: DOI arXiv
Spitzweck, Markus; Østvær, Paul Arne Motivic twisted \(K\)-theory. (English) Zbl 1282.14040 Algebr. Geom. Topol. 12, No. 1, 565-599 (2012). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F42 19L50 55P43 14F99 19D99 PDFBibTeX XMLCite \textit{M. Spitzweck} and \textit{P. A. Østvær}, Algebr. Geom. Topol. 12, No. 1, 565--599 (2012; Zbl 1282.14040) Full Text: DOI arXiv
Röndigs, Oliver; Østvær, Paul Arne Erratum to: “Rigidity in motivic homotopy theory”. (English) Zbl 1219.14027 Math. Ann. 350, No. 3, 755-756 (2011). MSC: 14F42 55P42 55U35 PDFBibTeX XMLCite \textit{O. Röndigs} and \textit{P. A. Østvær}, Math. Ann. 350, No. 3, 755--756 (2011; Zbl 1219.14027) Full Text: DOI
Berrick, A. J.; Karoubi, M.; Østvær, P. A. Periodicity of Hermitian \(K\)-groups. (English) Zbl 1254.19005 J. \(K\)-Theory 7, No. 3, 429-493 (2011). Reviewer: Paweł Gładki (Katowice) MSC: 19G38 14F20 55P42 PDFBibTeX XMLCite \textit{A. J. Berrick} et al., J. \(K\)-Theory 7, No. 3, 429--493 (2011; Zbl 1254.19005) Full Text: DOI arXiv
Spitzweck, Markus; Østvær, Paul Arne Universality of mod-\(p\) cohomology. (English) Zbl 1209.55003 Topology Appl. 157, No. 18, 2864-2872 (2010). Reviewer: Haruo Minami (Nara) MSC: 55N22 55P42 PDFBibTeX XMLCite \textit{M. Spitzweck} and \textit{P. A. Østvær}, Topology Appl. 157, No. 18, 2864--2872 (2010; Zbl 1209.55003) Full Text: DOI
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne Motivic strict ring models for \(K\)-theory. (English) Zbl 1209.14018 Proc. Am. Math. Soc. 138, No. 10, 3509-3520 (2010). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F42 55P43 19E08 PDFBibTeX XMLCite \textit{O. Röndigs} et al., Proc. Am. Math. Soc. 138, No. 10, 3509--3520 (2010; Zbl 1209.14018) Full Text: DOI arXiv
Seteklev, Sigurd; Østvær, Paul Arne Homotopy theory of cyclic presheaves. (English) Zbl 1215.55009 Math. Scand. 107, No. 1, 30-42 (2010). Reviewer: Lisbeth Fajstrup (Aalborg) MSC: 55U35 55P60 18G55 55P15 PDFBibTeX XMLCite \textit{S. Seteklev} and \textit{P. A. Østvær}, Math. Scand. 107, No. 1, 30--42 (2010; Zbl 1215.55009) Full Text: DOI
Østvær, Paul Arne Homotopy theory of \(C^*\)-algebras. (English) Zbl 1213.46072 Frontiers in Mathematics. Basel: Birkhäuser (ISBN 978-3-0346-0564-9/pbk; 978-3-0346-0565-6/ebook). vi, 139 p. (2010). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46M20 55P42 14F42 19E20 46L80 46L99 46-02 PDFBibTeX XMLCite \textit{P. A. Østvær}, Homotopy theory of \(C^*\)-algebras. Basel: Birkhäuser (2010; Zbl 1213.46072) Full Text: DOI arXiv
Spitzweck, Markus; Østvær, Paul Arne A Bott inverted model for equivariant unitary topological \(K\)-theory. (English) Zbl 1213.19004 Math. Scand. 106, No. 2, 211-216 (2010). Reviewer: Haruo Minami (Nara) MSC: 19L47 55N91 55P42 PDFBibTeX XMLCite \textit{M. Spitzweck} and \textit{P. A. Østvær}, Math. Scand. 106, No. 2, 211--216 (2010; Zbl 1213.19004) Full Text: DOI
Naumann, Niko; Spitzweck, Markus; Østvær, Paul Arne Chern classes, \(K\)-Theory and Landweber exactness over nonregular base schemes. (English) Zbl 1190.14022 de Jeu, Rob (ed.) et al., Motives and algebraic cycles. A celebration in honour of Spencer J. Bloch. Providence, RI: American Mathematical Society (AMS); Toronto: The Fields Institute for Research in Mathematical Sciences. (ISBN 978-0-8218-4494-6/hbk). Fields Institute Communications 56, 307-317 (2009). Reviewer: Mark Hovey (Middletown) MSC: 14F42 14A20 19E08 55N22 55P42 PDFBibTeX XMLCite \textit{N. Naumann} et al., Fields Inst. Commun. 56, 307--317 (2009; Zbl 1190.14022) Full Text: arXiv
Spitzweck, Markus; Østvær, Paul Arne The Bott inverted infinite projective space is homotopy algebraic \(K\)-theory. (English) Zbl 1213.55006 Bull. Lond. Math. Soc. 41, No. 2, 281-292 (2009). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 55P42 19E20 14F45 14F42 PDFBibTeX XMLCite \textit{M. Spitzweck} and \textit{P. A. Østvær}, Bull. Lond. Math. Soc. 41, No. 2, 281--292 (2009; Zbl 1213.55006) Full Text: DOI
Röndigs, Oliver; Østvær, Paul Arne Modules over motivic cohomology. (English) Zbl 1180.14015 Adv. Math. 219, No. 2, 689-727 (2008). Reviewer: Gereon Quick (Münster) MSC: 14F42 55U35 PDFBibTeX XMLCite \textit{O. Röndigs} and \textit{P. A. Østvær}, Adv. Math. 219, No. 2, 689--727 (2008; Zbl 1180.14015) Full Text: DOI
Röndigs, Oliver; Østvær, Paul Arne Rigidity in motivic homotopy theory. (English) Zbl 1180.14014 Math. Ann. 341, No. 3, 651-675 (2008); erratum ibid. 350, No. 3, 755-756 (2011). Reviewer: Gereon Quick (Münster) MSC: 14F42 55P42 55U35 PDFBibTeX XMLCite \textit{O. Röndigs} and \textit{P. A. Østvær}, Math. Ann. 341, No. 3, 651--675 (2008; Zbl 1180.14014) Full Text: DOI
Dundas, Bjørn Ian; Levine, Marc; Østvær, Paul Arne; Röndigs, Oliver; Voevodsky, V. Motivic homotopy theory. Lectures at a summer school in Nordfjordeid, Norway, August 2002. (English) Zbl 1118.14001 Universitext. Berlin: Springer (ISBN 978-3-540-45895-1/pbk). x, 220 p. (2007). Reviewer: Kirill Zainoulline (München) MSC: 14-01 18-01 55-01 19-01 14F42 55P42 18E30 PDFBibTeX XMLCite \textit{B. I. Dundas} et al., Motivic homotopy theory. Lectures at a summer school in Nordfjordeid, Norway, August 2002. Berlin: Springer (2007; Zbl 1118.14001)
Rosenschon, Andreas; Østvær, Paul Arne Rigidity for pseudo pretheories. (English) Zbl 1105.14020 Invent. Math. 166, No. 1, 95-102 (2006). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F35 19E08 18F25 14A99 PDFBibTeX XMLCite \textit{A. Rosenschon} and \textit{P. A. Østvær}, Invent. Math. 166, No. 1, 95--102 (2006; Zbl 1105.14020) Full Text: DOI
Röndigs, Oliver; Østvær, Paul Arne Motives and modules over motivic cohomology. (English) Zbl 1097.14016 C. R., Math., Acad. Sci. Paris 342, No. 10, 751-754 (2006). MSC: 14F42 55P42 55U35 18G30 18G55 PDFBibTeX XMLCite \textit{O. Röndigs} and \textit{P. A. Østvær}, C. R., Math., Acad. Sci. Paris 342, No. 10, 751--754 (2006; Zbl 1097.14016) Full Text: DOI
Rosenschon, Andreas; Østvær, Paul Arne The homotopy limit problem for two-primary algebraic \(K\)-theory. (English) Zbl 1096.55005 Topology 44, No. 6, 1159-1179 (2005). Reviewer: Piotr Krasoń (Szczecin) MSC: 55N15 19E08 19E20 14F20 PDFBibTeX XMLCite \textit{A. Rosenschon} and \textit{P. A. Østvær}, Topology 44, No. 6, 1159--1179 (2005; Zbl 1096.55005) Full Text: DOI
Rosenschon, Andreas; Østvær, Paul Arne \(K\)-theory of surfaces at the prime 2. (English) Zbl 1099.19001 \(K\)-Theory 33, No. 3, 215-250 (2004). Reviewer: Claudio Pedrini (Genova) MSC: 19D06 19E15 14F42 PDFBibTeX XMLCite \textit{A. Rosenschon} and \textit{P. A. Østvær}, \(K\)-Theory 33, No. 3, 215--250 (2004; Zbl 1099.19001) Full Text: DOI
Hodgkin, Luke; Østvær, Paul Arne The homotopy type of two-regular \(K\)-theory. (English) Zbl 1049.19002 Arone, Gregory (ed.) et al., Categorical decomposition techniques in algebraic topology. Proceedings of the international conference in algebraic topology, Isle of Skye, UK, June 2001. Basel: Birkhäuser (ISBN 3-7643-0400-6/hbk). Prog. Math. 215, 167-178 (2004). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 19D99 55N15 55P15 PDFBibTeX XMLCite \textit{L. Hodgkin} and \textit{P. A. Østvær}, Prog. Math. 215, 167--178 (2004; Zbl 1049.19002)
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne Motivic functors. (English) Zbl 1042.55006 Doc. Math. 8, 489-525 (2003). Reviewer: Rick Jardine (London /Ontario) MSC: 55P42 14F42 19E20 PDFBibTeX XMLCite \textit{B. I. Dundas} et al., Doc. Math. 8, 489--525 (2003; Zbl 1042.55006) Full Text: EuDML EMIS
Dundas, Bjørn Ian; Röndigs, Oliver; Østvær, Paul Arne Enriched functors and stable homotopy theory. (English) Zbl 1040.55002 Doc. Math. 8, 409-488 (2003). Reviewer: Gerd Laures (Heidelberg) MSC: 55P42 55U35 18D20 55P91 PDFBibTeX XMLCite \textit{B. I. Dundas} et al., Doc. Math. 8, 409--488 (2003; Zbl 1040.55002) Full Text: EuDML EMIS
Østvær, Paul Arne Étale descent for real number fields. (English) Zbl 1023.19003 Topology 42, No. 1, 197-225 (2003). Reviewer: M.E.Keating (London) MSC: 19F27 11R70 PDFBibTeX XMLCite \textit{P. A. Østvær}, Topology 42, No. 1, 197--225 (2003; Zbl 1023.19003) Full Text: DOI
Østvær, Paul Arne Periodicity in \(K\)-groups of certain fields. (English) Zbl 1072.19003 Rend. Semin. Mat. Univ. Padova 107, 1-8 (2002). Reviewer: Piotr Krasoń (Szczecin) MSC: 19E15 14F42 14C25 PDFBibTeX XMLCite \textit{P. A. Østvær}, Rend. Semin. Mat. Univ. Padova 107, 1--8 (2002; Zbl 1072.19003) Full Text: EuDML
Østvær, Paul Arne Algebraic K-theory spectra of non-exceptional two-regular number fields. (English) Zbl 0974.19002 Arlettaz, Dominique (ed.) et al., Une dégustation topologique: homotopy theory in the Swiss Alps. Proceedings of the Arolla conference on algebraic topology, August 25-September 1, 1999, Arolla, Switzerland. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 265, 187-192 (2000). Reviewer: Manfred Kolster (Hamilton/Ontario) MSC: 19D99 55P15 19F27 20G30 PDFBibTeX XMLCite \textit{P. A. Østvær}, Contemp. Math. 265, 187--192 (2000; Zbl 0974.19002)