Röndigs, Oliver Endomorphisms of the projective plane and the image of the Suslin-Hurewicz map. (English) Zbl 07687154 Invent. Math. 232, No. 3, 1161-1194 (2023). MSC: 14Fxx 55Qxx 55Pxx PDF BibTeX XML Cite \textit{O. Röndigs}, Invent. Math. 232, No. 3, 1161--1194 (2023; Zbl 07687154) 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 PDF BibTeX XML Cite \textit{J. J. Gutiérrez} et al., Abh. Math. Semin. Univ. Hamb. 91, No. 2, 153--178 (2021; Zbl 1487.18020) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{J. I. Kylling} et al., Camb. J. Math. 8, No. 3, 505--607 (2020; Zbl 1456.11221) Full Text: DOI arXiv
Ormsby, Kyle; Röndigs, Oliver The homotopy groups of the \(\eta \)-periodic motivic sphere spectrum. (English) Zbl 1444.14051 Pac. J. Math. 306, No. 2, 679-697 (2020). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 55Q45 PDF BibTeX XML Cite \textit{K. Ormsby} and \textit{O. Röndigs}, Pac. J. Math. 306, No. 2, 679--697 (2020; Zbl 1444.14051) Full Text: DOI arXiv
Röndigs, Oliver Remarks on motivic Moore spectra. (English) Zbl 1442.14082 Binda, Federico (ed.) et al., Motivic homotopy theory and refined enumerative geometry. Workshop, Universität Duisburg-Essen, Essen, Germany, May 14–18, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 745, 199-215 (2020). MSC: 14F42 PDF BibTeX XML Cite \textit{O. Röndigs}, Contemp. Math. 745, 199--215 (2020; Zbl 1442.14082) Full Text: DOI arXiv
Binda, Federico (ed.); Levine, Marc (ed.); Nguyen, Manh Toan (ed.); Röndigs, Oliver (ed.) Motivic homotopy theory and refined enumerative geometry. Workshop, Universität Duisburg-Essen, Essen, Germany, May 14–18, 2018. (English) Zbl 1435.14021 Contemporary Mathematics 745. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4898-1/pbk; 978-1-4704-5455-5/ebook). xv, 267 p. (2020). MSC: 14F42 14N99 00B25 PDF BibTeX XML Cite \textit{F. Binda} (ed.) et al., Motivic homotopy theory and refined enumerative geometry. Workshop, Universität Duisburg-Essen, Essen, Germany, May 14--18, 2018. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1435.14021) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. Ananyevskiy} et al., Math. Z. 294, No. 3--4, 1021--1034 (2020; Zbl 1453.14064) Full Text: DOI arXiv
Grygierek, Jens; Juhnke-Kubitzke, Martina; Reitzner, Matthias; Römer, Tim; Röndigs, Oliver Gigantic random simplicial complexes. (English) Zbl 1508.05181 Homology Homotopy Appl. 22, No. 1, 297-318 (2020). MSC: 05E45 55U10 60B99 60D05 PDF BibTeX XML Cite \textit{J. Grygierek} et al., Homology Homotopy Appl. 22, No. 1, 297--318 (2020; Zbl 1508.05181) Full Text: DOI arXiv
Röndigs, Oliver On the \(\eta\)-inverted sphere. (English) Zbl 1451.14069 Srinivas, V. (ed.) et al., \(K\)-theory. Proceedings of the international colloquium, Mumbai, 2016. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. Tata Inst. Fundam. Res., Stud. Math. 23, 41-63 (2019). MSC: 14F42 19D45 19G12 55P43 PDF BibTeX XML Cite \textit{O. Röndigs}, Tata Inst. Fundam. Res., Stud. Math. 23, 41--63 (2019; Zbl 1451.14069) Full Text: arXiv
Röndigs, Oliver; Spitzweck, Markus; Østvær, Paul Arne Cellularity of Hermitian \(K\)-theory and Witt-theory. (English) Zbl 1451.19013 Srinivas, V. (ed.) et al., \(K\)-theory. Proceedings of the international colloquium, Mumbai, 2016. New Delhi: Hindustan Book Agency; Mumbai: Tata Institute of Fundamental Research. Tata Inst. Fundam. Res., Stud. Math. 23, 35-40 (2019). MSC: 19G38 19G12 PDF BibTeX XML Cite \textit{O. Röndigs} et al., Tata Inst. Fundam. Res., Stud. Math. 23, 35--40 (2019; Zbl 1451.19013) Full Text: 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 PDF BibTeX XML Cite \textit{O. Röndigs} et al., Ann. Math. (2) 189, No. 1, 1--74 (2019; Zbl 1406.14018) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{K. Ormsby} et al., Forum Math. Sigma 6, Paper No. e3, 20 p. (2018; Zbl 1406.14017) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{O. Röndigs} and \textit{P. Østvær}, Geom. Topol. 20, No. 2, 1157--1212 (2016; Zbl 1416.19001) Full Text: DOI arXiv
Biedermann, Georg; Röndigs, Oliver Calculus of functors and model categories. II. (English) Zbl 1307.55009 Algebr. Geom. Topol. 14, No. 5, 2853-2913 (2014). Reviewer: J. Remedios (La Laguna) MSC: 55U35 18G55 PDF BibTeX XML Cite \textit{G. Biedermann} and \textit{O. Röndigs}, Algebr. Geom. Topol. 14, No. 5, 2853--2913 (2014; Zbl 1307.55009) Full Text: DOI arXiv
Büscher, Sebastian; Hebestreit, Fabian; Röndigs, Oliver; Stelzer, Manfred The Arone-Goodwillie spectral sequence for \(\Sigma^{\infty }\Omega^{n}\) and topological realization at odd primes. (English) Zbl 1262.55008 Algebr. Geom. Topol. 13, No. 1, 127-169 (2013). Reviewer: Rainer Vogt (Osnabrück) MSC: 55S10 55P65 55T99 55S12 PDF BibTeX XML Cite \textit{S. Büscher} et al., Algebr. Geom. Topol. 13, No. 1, 127--169 (2013; Zbl 1262.55008) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{J. J. Gutiérrez} et al., J. Topol. 5, No. 3, 727--755 (2012; Zbl 1258.18012) 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 PDF BibTeX XML Cite \textit{O. Röndigs} and \textit{P. A. Østvær}, Math. Ann. 350, No. 3, 755--756 (2011; Zbl 1219.14027) 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 PDF BibTeX XML Cite \textit{O. Röndigs} et al., Proc. Am. Math. Soc. 138, No. 10, 3509--3520 (2010; Zbl 1209.14018) Full Text: DOI arXiv
Röndigs, Oliver Theta characteristics and stable homotopy types of curves. (English) Zbl 1196.14028 Q. J. Math. 61, No. 3, 351-362 (2010). Reviewer: V. V. Chueshev (Kemerovo) MSC: 14H42 14H30 14G40 14A15 14F05 14F42 PDF BibTeX XML Cite \textit{O. Röndigs}, Q. J. Math. 61, No. 3, 351--362 (2010; Zbl 1196.14028) Full Text: DOI
Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver On Voevodsky’s algebraic \(K\)-theory spectrum. (English) Zbl 1179.14022 Baas, Nils A. (ed.) et al., Algebraic topology. The Abel symposium 2007. Proceedings of the fourth Abel symposium, Oslo, Norway, August 5–10, 2007. Berlin: Springer (ISBN 978-3-642-01199-3/hbk; 978-3-642-01200-6/ebook). Abel Symposia 4, 279-330 (2009). MSC: 14F43 14F42 14C35 55N15 55N22 PDF BibTeX XML Cite \textit{I. Panin} et al., Abel Symp. 4, 279--330 (2009; Zbl 1179.14022) Full Text: DOI arXiv
Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver On the relation of Voevodsky’s algebraic cobordism to Quillen’s \(K\)-theory. (English) Zbl 1205.14023 Invent. Math. 175, No. 2, 435-451 (2009). Reviewer: Claudio Pedrini (Genova) MSC: 14F43 PDF BibTeX XML Cite \textit{I. Panin} et al., Invent. Math. 175, No. 2, 435--451 (2009; Zbl 1205.14023) Full Text: DOI arXiv
Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver A universality theorem for Voevodsky’s algebraic cobordism spectrum. (English) Zbl 1162.14013 Homology Homotopy Appl. 10, No. 2, 211-226 (2008). Reviewer: Claudio Pedrini (Genova) MSC: 14F05 55N22 55P43 PDF BibTeX XML Cite \textit{I. Panin} et al., Homology Homotopy Appl. 10, No. 2, 211--226 (2008; Zbl 1162.14013) Full Text: DOI arXiv Link
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{O. Röndigs} and \textit{P. A. Østvær}, Math. Ann. 341, No. 3, 651--675 (2008; Zbl 1180.14014) Full Text: DOI
Biedermann, Georg; Chorny, Boris; Röndigs, Oliver Calculus of functors and model categories. (English) Zbl 1125.55011 Adv. Math. 214, No. 1, 92-115 (2007). Reviewer: J. Remedios (La Laguna) MSC: 55U35 55P91 18G55 55P65 PDF BibTeX XML Cite \textit{G. Biedermann} et al., Adv. Math. 214, No. 1, 92--115 (2007; Zbl 1125.55011) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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)
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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{B. I. Dundas} et al., Doc. Math. 8, 409--488 (2003; Zbl 1040.55002) Full Text: EuDML EMIS