Bondarko, Mikhail V.; Sosnilo, Vladimir A. On Chow-weight homology of geometric motives. (English) Zbl 1478.14013 Trans. Am. Math. Soc. 375, No. 1, 173-244 (2022). Reviewer: Mohammad Reza Rahmati (León) MSC: 14C15 14F42 18G80 19E15 18E40 14C30 14F20 18E35 PDF BibTeX XML Cite \textit{M. V. Bondarko} and \textit{V. A. Sosnilo}, Trans. Am. Math. Soc. 375, No. 1, 173--244 (2022; Zbl 1478.14013) Full Text: DOI OpenURL
Elmanto, Elden; Kolderup, Håkon On modules over motivic ring spectra. (English) Zbl 1440.14120 Ann. \(K\)-Theory 5, No. 2, 327-355 (2020). MSC: 14F40 14F42 19E15 55P42 55P43 55U35 PDF BibTeX XML Cite \textit{E. Elmanto} and \textit{H. Kolderup}, Ann. \(K\)-Theory 5, No. 2, 327--355 (2020; Zbl 1440.14120) Full Text: DOI arXiv OpenURL
Druzhinin, Andrei; Kolderup, Håkon Cohomological correspondence categories. (English) Zbl 1442.14079 Algebr. Geom. Topol. 20, No. 3, 1487-1541 (2020). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 19E15 14F35 PDF BibTeX XML Cite \textit{A. Druzhinin} and \textit{H. Kolderup}, Algebr. Geom. Topol. 20, No. 3, 1487--1541 (2020; Zbl 1442.14079) Full Text: DOI arXiv Link OpenURL
Saito, Shuji Purity of reciprocity sheaves. (English) Zbl 1437.19001 Adv. Math. 366, Article ID 107067, 70 p. (2020). Reviewer: Alberto Merici (Zürich) MSC: 19E15 14F42 19D45 19F15 PDF BibTeX XML Cite \textit{S. Saito}, Adv. Math. 366, Article ID 107067, 70 p. (2020; Zbl 1437.19001) Full Text: DOI arXiv OpenURL
Bondarko, Mikhail; Déglise, Frédéric Dimensional homotopy t-structures in motivic homotopy theory. (English) Zbl 1403.14053 Adv. Math. 311, 91-189 (2017). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 PDF BibTeX XML Cite \textit{M. Bondarko} and \textit{F. Déglise}, Adv. Math. 311, 91--189 (2017; Zbl 1403.14053) Full Text: DOI arXiv OpenURL
Bachmann, Tom On the invertibility of motives of affine quadrics. (English) Zbl 1420.14011 Doc. Math. 22, 363-395 (2017). Reviewer: Yong Hu (Guangdong) MSC: 14C15 11E04 14C25 PDF BibTeX XML Cite \textit{T. Bachmann}, Doc. Math. 22, 363--395 (2017; Zbl 1420.14011) Full Text: arXiv EMIS OpenURL
Barbieri-Viale, Luca; Kahn, Bruno On the derived category of 1-motives. (English) Zbl 1356.19001 Astérisque 381. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-837-4/pbk). xi, 254 p. (2016). Reviewer: Piotr Krasoń (Szczecin) MSC: 19E15 14C15 14F20 14C30 18E30 PDF BibTeX XML Cite \textit{L. Barbieri-Viale} and \textit{B. Kahn}, On the derived category of 1-motives. Paris: Société Mathématique de France (SMF) (2016; Zbl 1356.19001) OpenURL
Choudhury, Utsav; Skowera, Jonathan Motivic decomposition for relative geometrically cellular stacks. (English) Zbl 1378.14022 Commun. Algebra 44, No. 2, 648-655 (2016). MSC: 14F42 14A20 PDF BibTeX XML Cite \textit{U. Choudhury} and \textit{J. Skowera}, Commun. Algebra 44, No. 2, 648--655 (2016; Zbl 1378.14022) Full Text: DOI OpenURL
Cisinski, Denis-Charles; Déglise, Frédéric Integral mixed motives in equal characteristic. (English) Zbl 1357.19004 Doc. Math. Extra Vol., Alexander S. Merkurjev’s Sixtieth Birthday, 145-194 (2015). Reviewer: Giuseppe Ancona (Paris) MSC: 19E15 14C15 14C25 14F20 14F42 PDF BibTeX XML Cite \textit{D.-C. Cisinski} and \textit{F. Déglise}, Doc. Math. Extra Vol., 145--194 (2015; Zbl 1357.19004) Full Text: arXiv EMIS OpenURL
Robalo, Marco \(K\)-theory and the bridge from motives to noncommutative motives. (English) Zbl 1315.14030 Adv. Math. 269, 399-550 (2015). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F42 14F20 19E15 18E30 PDF BibTeX XML Cite \textit{M. Robalo}, Adv. Math. 269, 399--550 (2015; Zbl 1315.14030) Full Text: DOI arXiv Backlinks: MO OpenURL
Druzhinin, A. É. On the homotopy invariant presheaves with Witt-transfers. (English. Russian original) Zbl 1309.19008 Russ. Math. Surv. 69, No. 3, 575-577 (2014); translation from Usp. Mat. Nauk 69, No. 3, 181-182 (2014). Reviewer: Mohamed Elhamdadi (Tampa) MSC: 19E15 19G12 PDF BibTeX XML Cite \textit{A. É. Druzhinin}, Russ. Math. Surv. 69, No. 3, 575--577 (2014; Zbl 1309.19008); translation from Usp. Mat. Nauk 69, No. 3, 181--182 (2014) Full Text: DOI OpenURL
Garkusha, Grigory; Panin, Ivan The triangulated category of \(\mathrm K\)-motives \(DK_{-}^{\mathrm{eff}}(k)\). (English) Zbl 1327.14106 J. \(K\)-Theory 14, No. 1, 103-137 (2014). Reviewer: Claudio Pedrini (Genova) MSC: 14F42 19E08 55U35 PDF BibTeX XML Cite \textit{G. Garkusha} and \textit{I. Panin}, J. \(K\)-Theory 14, No. 1, 103--137 (2014; Zbl 1327.14106) Full Text: DOI arXiv OpenURL
Ayoub, Joseph The étale realization and the Grothendieck operations. (La réalisation étale et les opérations de Grothendieck.) (French. English summary) Zbl 1354.18016 Ann. Sci. Éc. Norm. Supér. (4) 47, No. 1, 1-145 (2014). Reviewer: Leovigildo Alonso-Tarrío (Santiago de Compostela) MSC: 18F25 14C15 14F20 PDF BibTeX XML Cite \textit{J. Ayoub}, Ann. Sci. Éc. Norm. Supér. (4) 47, No. 1, 1--145 (2014; Zbl 1354.18016) Full Text: DOI Link OpenURL
Garkusha, Grigory; Panin, Ivan \(K\)-motives of algebraic varieties. (English) Zbl 1284.14029 Homology Homotopy Appl. 14, No. 2, 211-264 (2012). Reviewer: Philip Herrmann (Hamburg) MSC: 14F42 19E08 55U35 55P42 PDF BibTeX XML Cite \textit{G. Garkusha} and \textit{I. Panin}, Homology Homotopy Appl. 14, No. 2, 211--264 (2012; Zbl 1284.14029) Full Text: DOI arXiv OpenURL
Ivorra, Florian Triangulated motives over Noetherian separated schemes. (English) Zbl 1248.18012 Cluckers, Raf (ed.) et al., Motivic integration and its interactions with model theory and non-archimedean geometry. Vol. II. Cambridge: Cambridge University Press (ISBN 978-1-107-64881-4/pbk). London Mathematical Society Lecture Note Series 384, 108-177 (2011). Reviewer: Pawel Sosna (Hamburg) MSC: 18E30 14F05 14F42 PDF BibTeX XML Cite \textit{F. Ivorra}, Lond. Math. Soc. Lect. Note Ser. 384, 108--177 (2011; Zbl 1248.18012) OpenURL
Bondarko, Mikhail V. Motivically functorial coniveau spectral sequences; direct summands of cohomology of function fields. (English) Zbl 1210.14023 Doc. Math. Extra Vol., Andrei A. Suslin’s Sixtieth Birthday, 33-117 (2010). Reviewer: Claudio Pedrini (Genova) MSC: 14F42 14C35 18G40 19E15 14F20 14C25 PDF BibTeX XML Cite \textit{M. V. Bondarko}, Doc. Math. Extra Vol., 33--117 (2010; Zbl 1210.14023) Full Text: arXiv EuDML EMIS OpenURL
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 PDF BibTeX XML Cite \textit{B. Kahn} and \textit{M. Levine}, J. Inst. Math. Jussieu 9, No. 3, 481--599 (2010; Zbl 1195.14007) Full Text: DOI arXiv OpenURL
Wildeshaus, Jörg Chow motives without projectivity. (English) Zbl 1179.14021 Compos. Math. 145, No. 5, 1196-1226 (2009). Reviewer: Oliver Petras (Bonn) MSC: 14F42 14F20 14F25 14F30 14G35 18E30 19E15 PDF BibTeX XML Cite \textit{J. Wildeshaus}, Compos. Math. 145, No. 5, 1196--1226 (2009; Zbl 1179.14021) Full Text: DOI arXiv OpenURL
Ayoub, Joseph; Barbieri-Viale, Luca 1-motivic sheaves and the Albanese functor. (English) Zbl 1163.14003 J. Pure Appl. Algebra 213, No. 5, 809-839 (2009). Reviewer: Piotr Krasoń (Szczecin) MSC: 14C15 14C22 14C25 14F42 14K30 18F20 18G10 PDF BibTeX XML Cite \textit{J. Ayoub} and \textit{L. Barbieri-Viale}, J. Pure Appl. Algebra 213, No. 5, 809--839 (2009; Zbl 1163.14003) Full Text: DOI arXiv Link OpenURL
Bondarko, M. V. Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky versus Hanamura. (English) Zbl 1161.14014 J. Inst. Math. Jussieu 8, No. 1, 39-97 (2009). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F42 16E45 14F20 19D55 32S20 PDF BibTeX XML Cite \textit{M. V. Bondarko}, J. Inst. Math. Jussieu 8, No. 1, 39--97 (2009; Zbl 1161.14014) Full Text: DOI arXiv OpenURL
Déglise, Frédéric Generic motives. (Motifs génériques.) (French) Zbl 1207.14011 Rend. Semin. Mat. Univ. Padova 119, 173-244 (2008). Reviewer: Claudio Pedrini (Genova) MSC: 14C15 14F42 PDF BibTeX XML Cite \textit{F. Déglise}, Rend. Semin. Mat. Univ. Padova 119, 173--244 (2008; Zbl 1207.14011) Full Text: DOI EuDML Link OpenURL
Huber, Annette [Ayoub, J.] Slice filtration on motives and the Hodge conjecture (with an appendix by J. Ayoub). (English) Zbl 1181.14028 Math. Nachr. 281, No. 12, 1764-1776 (2008). Reviewer: Fumio Hazama (Hatoyama) MSC: 14F42 14C30 14C25 18E30 PDF BibTeX XML Cite \textit{A. Huber}, Math. Nachr. 281, No. 12, 1764--1776 (2008; Zbl 1181.14028) Full Text: DOI OpenURL
Barbieri-Viale, Luca; Kahn, Bruno A note on relative duality for Voevodsky motives. (English) Zbl 1152.14007 Tohoku Math. J. (2) 60, No. 3, 349-356 (2008). Reviewer: Oliver Petras (Mainz) MSC: 14C25 PDF BibTeX XML Cite \textit{L. Barbieri-Viale} and \textit{B. Kahn}, Tohoku Math. J. (2) 60, No. 3, 349--356 (2008; Zbl 1152.14007) Full Text: DOI arXiv OpenURL
Chatzistamatiou, Andre Motivic cohomology of the complement of hyperplane arrangements. (English) Zbl 1132.14017 Duke Math. J. 138, No. 3, 375-389 (2007). Reviewer: Claudio Pedrini (Genova) MSC: 14F42 PDF BibTeX XML Cite \textit{A. Chatzistamatiou}, Duke Math. J. 138, No. 3, 375--389 (2007; Zbl 1132.14017) Full Text: DOI arXiv OpenURL
Guletskiǐ, Vladimir Finite-dimensional objects in distinguished triangles. (English) Zbl 1102.14003 J. Number Theory 119, No. 1, 99-127 (2006). Reviewer: Claudio Pedrini (Genova) MSC: 14C15 18E30 14C25 14F42 19E15 PDF BibTeX XML Cite \textit{V. Guletskiǐ}, J. Number Theory 119, No. 1, 99--127 (2006; Zbl 1102.14003) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Huber} and \textit{B. Kahn}, Compos. Math. 142, No. 4, 907--936 (2006; Zbl 1105.14022) Full Text: DOI OpenURL
Weibel, Charles Transfer functors on \(k\)-algebras. (English) Zbl 1086.19001 J. Pure Appl. Algebra 201, No. 1-3, 340-366 (2005). Reviewer: Claudio Pedrini (Genova) MSC: 19E15 14F42 18E30 PDF BibTeX XML Cite \textit{C. Weibel}, J. Pure Appl. Algebra 201, No. 1--3, 340--366 (2005; Zbl 1086.19001) Full Text: DOI OpenURL
Orgogozo, Fabrice Isomotives of dimension less than or equal to one. (Isomotifs de dimension inférieure ou égale à un.) (French) Zbl 1092.14027 Manuscr. Math. 115, No. 3, 339-360 (2004). Reviewer: Claudio Pedrini (Genova) MSC: 14F42 14F20 14L15 18E30 PDF BibTeX XML Cite \textit{F. Orgogozo}, Manuscr. Math. 115, No. 3, 339--360 (2004; Zbl 1092.14027) Full Text: DOI OpenURL
Hanamura, Masaki Mixed motives and algebraic cycles. II. (English) Zbl 1068.14022 Invent. Math. 158, No. 1, 105-179 (2004). Reviewer: Werner Kleinert (Berlin) MSC: 14F42 14C25 14C15 19E15 14C35 PDF BibTeX XML Cite \textit{M. Hanamura}, Invent. Math. 158, No. 1, 105--179 (2004; Zbl 1068.14022) Full Text: DOI OpenURL
Takeda, Yuichiro On Voevodsky’s construction of the category of mixed motives. (English. Japanese original) Zbl 1247.14021 Sugaku Expo. 16, No. 2, 207-224 (2003); translation from Sūgaku 53, No. 1, 1-17 (2001). MSC: 14F42 14F43 18E30 14C15 14C25 PDF BibTeX XML Cite \textit{Y. Takeda}, Sūgaku 53, No. 1, 1--17 (2001; Zbl 1247.14021); translation from Sūgaku 53, No. 1, 1--17 (2001) OpenURL
Serpé, Christian A triangulated category of equivariant motives. (Eine triangulierte Kategorie äquivarianter Motive.) (German) Zbl 0996.18009 Münster: Univ. Münster, Fachbereich Mathematik und Informatik, 65 S. (2000). MSC: 18E30 14F42 19E15 PDF BibTeX XML Cite \textit{C. Serpé}, Eine triangulierte Kategorie äquivarianter Motive. Münster: Univ. Münster, Fachbereich Mathematik und Informatik (2000; Zbl 0996.18009) OpenURL
Friedlander, Eric M.; Voevodsky, Vladimir Bivariant cycle cohomology. (English) Zbl 1019.14011 Voevodsky, Vladimir et al., Cycles, transfers, and motivic homology theories. Princeton, NJ: Princeton University Press. Ann. Math. Stud. 143, 138-187 (2000). Reviewer: Werner Kleinert (Berlin) MSC: 14F43 14F42 14C15 14C25 PDF BibTeX XML Cite \textit{E. M. Friedlander} and \textit{V. Voevodsky}, Ann. Math. Stud. 143, 138--187 (2000; Zbl 1019.14011) OpenURL
Voevodsky, Vladimir; Suslin, Andrei; Friedlander, Eric M. Cycles, transfers, and motivic homology theories. (English) Zbl 1021.14006 Annals of Mathematics Studies. 143. Princeton, NJ: Princeton University Press. v, 254 p. (2000). Reviewer: Werner Kleinert (Berlin) MSC: 14F42 14-02 14C25 14C35 PDF BibTeX XML Cite \textit{V. Voevodsky} et al., Cycles, transfers, and motivic homology theories. Princeton, NJ: Princeton University Press (2000; Zbl 1021.14006) Full Text: DOI OpenURL