Kahn, Bruno; Miyazaki, Hiroyasu; Saito, Shuji; Yamazaki, Takao Motives with modulus. III: The categories of motives. (English) Zbl 1505.19003 Ann. \(K\)-Theory 7, No. 1, 119-178 (2022). MSC: 19E15 14F42 19D45 19F15 PDFBibTeX XMLCite \textit{B. Kahn} et al., Ann. \(K\)-Theory 7, No. 1, 119--178 (2022; Zbl 1505.19003) Full Text: DOI arXiv
Kahn, Bruno; Saito, Shuji; Yamazaki, Takao Reciprocity sheaves. II. (English) Zbl 1487.19005 Homology Homotopy Appl. 24, No. 1, 71-91 (2022). MSC: 19E15 14F42 19F15 PDFBibTeX XMLCite \textit{B. Kahn} et al., Homology Homotopy Appl. 24, No. 1, 71--91 (2022; Zbl 1487.19005) Full Text: DOI arXiv
Kahn, Bruno; Miyazaki, Hiroyasu Topologies on schemes and modulus pairs. (English) Zbl 1484.19005 Nagoya Math. J. 244, 283-313 (2021). MSC: 19E15 14F42 19D45 19F15 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{H. Miyazaki}, Nagoya Math. J. 244, 283--313 (2021; Zbl 1484.19005) Full Text: DOI arXiv
Kahn, Bruno; Miyazaki, Hiroyasu; Saito, Shuji; Yamazaki, Takao Motives with modulus. II: Modulus sheaves with transfers for proper modulus pairs. (English) Zbl 1468.19005 Épijournal de Géom. Algébr., EPIGA 5, Article 2, 31 p. (2021). MSC: 19E15 14F42 19D45 19F15 PDFBibTeX XMLCite \textit{B. Kahn} et al., Épijournal de Géom. Algébr., EPIGA 5, Article 2, 31 p. (2021; Zbl 1468.19005) Full Text: DOI arXiv
Kahn, Bruno; Miyazaki, Hiroyasu; Saito, Shuji; Yamazaki, Takao Motives with modulus. I: Modulus sheaves with transfers for non-proper modulus pairs. (English) Zbl 1506.19002 Épijournal de Géom. Algébr., EPIGA 5, Article 1, 46 p. (2021). MSC: 19E15 14F42 19D45 19F15 PDFBibTeX XMLCite \textit{B. Kahn} et al., Épijournal de Géom. Algébr., EPIGA 5, Article 1, 46 p. (2021; Zbl 1506.19002) Full Text: DOI arXiv
Hu, Xiaowen; Kahn, Bruno [Kahn, Bruno] On Suslin homology with integral coefficients in characteristic zero (with an appendix by Bruno Kahn). (English) Zbl 1477.14037 J. Pure Appl. Algebra 225, No. 5, Article ID 106570, 29 p. (2021). Reviewer: Fei Ren (Wuppertal) MSC: 14F42 19E15 PDFBibTeX XMLCite \textit{X. Hu} and \textit{B. Kahn}, J. Pure Appl. Algebra 225, No. 5, Article ID 106570, 29 p. (2021; Zbl 1477.14037) Full Text: DOI arXiv
Kahn, Bruno Zeta and \(L\)-functions of varieties and motives. Translated from the French. (English) Zbl 1502.14003 London Mathematical Society Lecture Note Series 462. Cambridge: Cambridge University Press (ISBN 978-1-108-70339-0/pbk; 978-1-108-69153-6/ebook). viii, 208 p. (2020). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14-02 11-02 11G40 11M38 11R42 11R59 14F30 14F42 14G10 19F27 PDFBibTeX XMLCite \textit{B. Kahn}, Zeta and \(L\)-functions of varieties and motives. Translated from the French. Cambridge: Cambridge University Press (2020; Zbl 1502.14003) Full Text: DOI
Andreatta, F.; Barbieri-Viale, L.; Bertapelle, A.; Kahn, B. Motivic periods and Grothendieck arithmetic invariants. (English) Zbl 1433.14017 Adv. Math. 359, Article ID 106880, 50 p. (2020). Reviewer: Alberto Merici (Zürich) MSC: 14F42 14F40 19E15 14C30 14L15 PDFBibTeX XMLCite \textit{F. Andreatta} et al., Adv. Math. 359, Article ID 106880, 50 p. (2020; Zbl 1433.14017) Full Text: DOI arXiv
Kahn, Bruno Motives and adjoints. (Motifs et adjoints.) (French. English summary) Zbl 1423.14155 Rend. Semin. Mat. Univ. Padova 139, 77-128 (2018). MSC: 14F42 14C25 14E05 18F99 PDFBibTeX XMLCite \textit{B. Kahn}, Rend. Semin. Mat. Univ. Padova 139, 77--128 (2018; Zbl 1423.14155) Full Text: DOI arXiv
Kahn, Bruno Divisibility properties of motivic cohomology. arXiv:1801.06010 Preprint, arXiv:1801.06010 [math.AG] (2018). MSC: 14F42 19E15 BibTeX Cite \textit{B. Kahn}, ``Divisibility properties of motivic cohomology'', Preprint, arXiv:1801.06010 [math.AG] (2018) Full Text: DOI arXiv OA License
Kahn, Bruno; Saito, Shuji; Yamazaki, Takao; Rülling, Kay Reciprocity sheaves. (English) Zbl 1419.19001 Compos. Math. 152, No. 9, 1851-1898 (2016). Reviewer: Javier Majadas (Santiago de Compostela) MSC: 19E15 14F42 19D45 19F15 PDFBibTeX XMLCite \textit{B. Kahn} et al., Compos. Math. 152, No. 9, 1851--1898 (2016; Zbl 1419.19001) Full Text: DOI arXiv
Kahn, Bruno The Brauer group and indecomposable \((2,1)\)-cycles. (English) Zbl 1375.19008 Compos. Math. 152, No. 5, 1041-1051 (2016). Reviewer: Tom Bachmann (Essen) MSC: 19E15 14F22 14F42 PDFBibTeX XMLCite \textit{B. Kahn}, Compos. Math. 152, No. 5, 1041--1051 (2016; Zbl 1375.19008) Full Text: DOI arXiv
Kahn, Bruno Cycle modules and unramified classes over a classifying space. (Modules de cycles et classes non ramifiées sur un espace classifiant.) (French. English summary) Zbl 1403.14016 Algebr. Geom. 3, No. 3, 264-295 (2016). MSC: 14C15 14C35 14F42 19E15 20G15 PDFBibTeX XMLCite \textit{B. Kahn}, Algebr. Geom. 3, No. 3, 264--295 (2016; Zbl 1403.14016) Full Text: DOI
Kahn, Bruno; Yamazaki, Takao Correction to “Voevodsky’s motives and Weil reciprocity”. (English) Zbl 1330.19002 Duke Math. J. 164, No. 10, 2093-2098 (2015). MSC: 19E15 19A22 18D10 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{T. Yamazaki}, Duke Math. J. 164, No. 10, 2093--2098 (2015; Zbl 1330.19002) Full Text: DOI
Kahn, Bruno Algebraic tori as Nisnevich sheaves with transfers. (English. French summary) Zbl 1305.14011 Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 3, 699-715 (2014). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F42 14L10 14M25 PDFBibTeX XMLCite \textit{B. Kahn}, Ann. Fac. Sci. Toulouse, Math. (6) 23, No. 3, 699--715 (2014; Zbl 1305.14011) Full Text: DOI arXiv
Kahn, Bruno; Ngan, Nguyen Thi Kim On the classifying space of a linear algebraic group. I. (Sur l’espace classifiant d’un groupe algébrique linéaire. I.) (French. English summary) Zbl 1327.14108 J. Math. Pures Appl. (9) 102, No. 5, 972-1013 (2014). Reviewer: Claudio Pedrini (Genova) MSC: 14F42 14C15 20G15 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{N. T. K. Ngan}, J. Math. Pures Appl. (9) 102, No. 5, 972--1013 (2014; Zbl 1327.14108) Full Text: DOI
Kahn, Bruno The full faithfulness conjectures in characteristic \(p\). (English) Zbl 1368.14007 Bost, J.-B. (ed.) et al., Autour des motifs. École d’été franco-asiatique de géométrie algébrique et de théorie des nombres. Volume II. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-784-1/pbk). Panoramas et Synthèses 41, 187-244 (2013). Reviewer: Piotr Krasoń (Szczecin) MSC: 14C15 14C25 14F42 14F05 14G15 PDFBibTeX XMLCite \textit{B. Kahn}, Panor. Synth. 41, 187--244 (2013; Zbl 1368.14007) Full Text: arXiv
Kahn, Bruno; Yamazaki, Takao Voevodsky’s motives and Weil reciprocity. (English) Zbl 1309.19009 Duke Math. J. 162, No. 14, 2751-2796 (2013); corrigendum ibid. 164, No. 10, 2093-2098 (2015). Reviewer: Claudio Pedrini (Genova) MSC: 19E15 14F42 19D45 19F15 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{T. Yamazaki}, Duke Math. J. 162, No. 14, 2751--2796 (2013; Zbl 1309.19009) Full Text: DOI arXiv Euclid
Kahn, Bruno Classes of motivic étale cycles. (Classes de cycles motiviques étales.) (French. English summary) Zbl 1263.14011 Algebra Number Theory 6, No. 7, 1369-1407 (2012). Reviewer: Claudio Pedrini (Genova) MSC: 14C25 14E22 14F20 14F42 14G15 PDFBibTeX XMLCite \textit{B. Kahn}, Algebra Number Theory 6, No. 7, 1369--1407 (2012; Zbl 1263.14011) Full Text: DOI arXiv
Kahn, Bruno Relatively unramified elements in cycle modules. (English) Zbl 1235.14008 J. \(K\)-Theory 7, No. 3, 409-427 (2011). Reviewer: Claudio Pedrini (Genova) MSC: 14C15 14F42 19E15 PDFBibTeX XMLCite \textit{B. Kahn}, J. \(K\)-Theory 7, No. 3, 409--427 (2011; Zbl 1235.14008) Full Text: DOI Link
Kahn, Bruno (ed.); Levine, Marc (ed.); Spiess, Michael (ed.) Motives and homotopy theory of schemes. Abstracts from the workshop held May 16th – May 22nd, 2010. (English) Zbl 1209.00060 Oberwolfach Rep. 7, No. 2, 1383-1429 (2010). MSC: 00B05 14-06 14A10 14C15 14F42 19Exx PDFBibTeX XMLCite \textit{B. Kahn} (ed.) et al., Oberwolfach Rep. 7, No. 2, 1383--1429 (2010; Zbl 1209.00060) Full Text: DOI Link
Kahn, Bruno; Levine, Marc Motives of Azumaya algebras. (English) Zbl 1195.14007 J. Inst. Math. Jussieu 9, No. 3, 481-599 (2010). Reviewer: Oliver Petras (Bonn) MSC: 14C25 19E15 19E08 14F42 55P42 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{M. Levine}, J. Inst. Math. Jussieu 9, No. 3, 481--599 (2010; Zbl 1195.14007) Full Text: DOI arXiv
Kahn, Bruno; Maltsiniotis, Georges Derivability structures. (Structures de dérivabilité.) (French) Zbl 1149.18009 Adv. Math. 218, No. 4, 1286-1318 (2008). Reviewer: Jérôme Scherer (Bellaterra) MSC: 18G55 55U35 18A40 18E35 18G10 55P60 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{G. Maltsiniotis}, Adv. Math. 218, No. 4, 1286--1318 (2008; Zbl 1149.18009) Full Text: DOI
Kahn, Bruno; Murre, Jacob P.; Pedrini, Claudio On the transcendental part of the motive of a surface. (English) Zbl 1130.14008 Nagel, Jan (ed.) et al., Algebraic cycles and motives. Volume 2. Selected papers of the EAGER conference, Leiden, Netherlands, August 30–September 3, 2004 on the occasion of the 75th birthday of Professor J. P. Murre. Cambridge: Cambridge University Press (ISBN 978-0-521-70175-4/pbk). London Mathematical Society Lecture Note Series 344, 143-202 (2007). Reviewer: Werner Kleinert (Berlin) MSC: 14C25 14F42 14C30 14J99 18E30 19E15 PDFBibTeX XMLCite \textit{B. Kahn} et al., Lond. Math. Soc. Lect. Note Ser. 344, 143--202 (2007; Zbl 1130.14008)
Huber, Annette; Kahn, Bruno The slice filtration and mixed Tate motives. (English) Zbl 1105.14022 Compos. Math. 142, No. 4, 907-936 (2006). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F42 14F20 14C25 20G15 PDFBibTeX XMLCite \textit{A. Huber} and \textit{B. Kahn}, Compos. Math. 142, No. 4, 907--936 (2006; Zbl 1105.14022) Full Text: DOI
André, Yves; Kahn, Bruno Erratum: Nilpotency, radicals and monoidal structures. (Erratum: nilpotence, radicaux et structures monoïdales.) (English) Zbl 1167.18302 Rend. Semin. Mat. Univ. Padova 113, 125-128 (2005). Reviewer: Olaf Teschke (Berlin) MSC: 18D10 14F42 14L15 PDFBibTeX XMLCite \textit{Y. André} and \textit{B. Kahn}, Rend. Semin. Mat. Univ. Padova 113, 125--128 (2005; Zbl 1167.18302) Full Text: EuDML Link
Kahn, Bruno Unramified cohomology of quadrics. (Cohomologie non ramifiée des quadriques.) (French) Zbl 1075.14018 Tignol, Jean-Pierre (ed.), Geometric methods in the algebraic theory of quadratic forms. Proceedings of the summer school, Lens, France, June 2000. Berlin: Springer (ISBN 3-540-20728-7/pbk). Lect. Notes Math. 1835, 1-23 (2004). Reviewer: Jean-Pierre E. Tignol (Louvain-La-Neuve) MSC: 14F42 11E04 16E20 PDFBibTeX XMLCite \textit{B. Kahn}, Lect. Notes Math. 1835, 1--23 (2004; Zbl 1075.14018)
Kahn, Bruno Rational and numerical equivalences on certain abelian type varieties over a finite field. (Équivalences rationnelle et numérique sur certaines variétés de type abélien sur un corps fini.) (French) Zbl 1073.14034 Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 977-1002 (2003). MSC: 14C35 11G25 14C25 14F20 14F42 19E15 PDFBibTeX XMLCite \textit{B. Kahn}, Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 977--1002 (2003; Zbl 1073.14034) Full Text: DOI Numdam EuDML
Kahn, Bruno; Laghribi, Ahmed A second descent problem for quadratic forms. (English) Zbl 1108.11033 \(K\)-Theory 29, No. 4, 253-284 (2003). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E04 11E81 12G05 14F42 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{A. Laghribi}, \(K\)-Theory 29, No. 4, 253--284 (2003; Zbl 1108.11033) Full Text: DOI
André, Yves; Kahn, Bruno [O’Sullivan, Peter] Nilpotence, radicals and monoidal structures. With an appendix by Peter O’Sullivan. (Nilpotence, radicaux et structures monoïdales.) (French) Zbl 1165.18300 Rend. Semin. Mat. Univ. Padova 108, 107-291 (2002); erratum ibid. 113, 125-128 (2005). Reviewer: Olaf Teschke (Berlin) MSC: 18D10 14F42 14L15 16N99 18E40 PDFBibTeX XMLCite \textit{Y. André} and \textit{B. Kahn}, Rend. Semin. Mat. Univ. Padova 108, 107--291 (2002; Zbl 1165.18300) Full Text: EuDML
Kahn, B. The Geisser-Levine method revisited and algebraic cycles over a finite field. (English) Zbl 1014.14004 Math. Ann. 324, No. 3, 581-617 (2002). MSC: 14F42 19E15 19E20 14C25 PDFBibTeX XMLCite \textit{B. Kahn}, Math. Ann. 324, No. 3, 581--617 (2002; Zbl 1014.14004) Full Text: DOI
André, Yves; Kahn, Bruno An unconditional construction of motivic Galois groups. (Construction inconditionnelle de groupes de Galois motiviques.) (French. Abridged English version) Zbl 1052.14021 C. R., Math., Acad. Sci. Paris 334, No. 11, 989-994 (2002). MSC: 14F42 14G32 14F43 18D10 PDFBibTeX XMLCite \textit{Y. André} and \textit{B. Kahn}, C. R., Math., Acad. Sci. Paris 334, No. 11, 989--994 (2002; Zbl 1052.14021) Full Text: DOI
Kahn, Bruno Equivalence rationnelle, equivalence numerique et produits de courbes elliptiques sur un corps fini. arXiv:math/0205158 Preprint, arXiv:math/0205158 [math.AG] (2002). MSC: 14C25 14F42 14G15 14G10 BibTeX Cite \textit{B. Kahn}, ``Equivalence rationnelle, equivalence numerique et produits de courbes elliptiques sur un corps fini'', Preprint, arXiv:math/0205158 [math.AG] (2002) Full Text: arXiv
Kahn, Bruno; Sujatha, R. Unramified cohomology of quadrics. II. (English) Zbl 1049.11044 Duke Math. J. 106, No. 3, 449-484 (2001). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E81 11E04 12G05 14F42 19E15 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{R. Sujatha}, Duke Math. J. 106, No. 3, 449--484 (2001; Zbl 1049.11044) Full Text: DOI
Kahn, Bruno; Sujatha, R. Motivic cohomology and unramified cohomology of quadrics. (English) Zbl 1066.11015 J. Eur. Math. Soc. (JEMS) 2, No. 2, 145-177 (2000). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11E04 11E88 12G05 14F20 14F42 19E15 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{R. Sujatha}, J. Eur. Math. Soc. (JEMS) 2, No. 2, 145--177 (2000; Zbl 1066.11015) Full Text: DOI
Kahn, Bruno Motivic cohomology of smooth geometrically cellular varieties. (English) Zbl 0954.19004 Raskind, Wayne (ed.) et al., Algebraic \(K\)-theory. Proceedings of an AMS-IMS-SIAM summer research conference, Seattle, WA, USA, July 13-24, 1997. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 67, 149-174 (1999). Reviewer: M.Kolster (Hamilton/Ontario) MSC: 19E15 14F42 19E20 11E16 PDFBibTeX XMLCite \textit{B. Kahn}, Proc. Symp. Pure Math. 67, 149--174 (1999; Zbl 0954.19004)
Kahn, Bruno The Milnor conjecture after V. Voevodsky. (La conjecture de Milnor d’après V. Voevodsky.) (French) Zbl 0916.19001 Séminaire Bourbaki. Volume 1996/97. Exposés 820–834. Paris: Société Mathématique de France, Astérisque. 245, 379-418, Exp. No. 834 (1997). Reviewer: Bernhard Köck (Karlsruhe) MSC: 19-02 19D45 14C35 19E20 14A20 55P42 14F20 14C25 12G05 PDFBibTeX XMLCite \textit{B. Kahn}, in: Séminaire Bourbaki. Volume 1996/97. Exposés 820--834. Paris: Société Mathé\-matique de France. 379--418, Exp. No. 834 (1997; Zbl 0916.19001) Full Text: Numdam EuDML