Koizumi, Junnosuke; Miyazaki, Hiroyasu A motivic construction of the de Rham-Witt complex. (English) Zbl 07808746 J. Pure Appl. Algebra 228, No. 6, Article ID 107602, 32 p. (2024). MSC: 14F42 13F35 14F30 19E15 PDFBibTeX XMLCite \textit{J. Koizumi} and \textit{H. Miyazaki}, J. Pure Appl. Algebra 228, No. 6, Article ID 107602, 32 p. (2024; Zbl 07808746) Full Text: DOI arXiv
Rovinsky, M. Z. A remark on 0-cycles as modules over algebras of finite correspondences. (English. Russian original) Zbl 07787670 Sb. Math. 214, No. 8, 1153-1162 (2023); translation from Mat. Sb. 214, No. 8, 108-118 (2023). MSC: 14C15 14C25 PDFBibTeX XMLCite \textit{M. Z. Rovinsky}, Sb. Math. 214, No. 8, 1153--1162 (2023; Zbl 07787670); translation from Mat. Sb. 214, No. 8, 108--118 (2023) Full Text: DOI arXiv MNR
Kelly, Shane; Miyazaki, Hiroyasu Hodge cohomology with a ramification filtration. I. (English) Zbl 1527.14071 Math. Z. 305, No. 4, Paper No. 70, 24 p. (2023). MSC: 14H30 PDFBibTeX XMLCite \textit{S. Kelly} and \textit{H. Miyazaki}, Math. Z. 305, No. 4, Paper No. 70, 24 p. (2023; Zbl 1527.14071) Full Text: DOI arXiv OA License
Rao, Sheng; Yang, Song; Yang, Xiangdong; Yu, Xun Hodge cohomology on blow-ups along subvarieties. (English) Zbl 07747072 Math. Nachr. 296, No. 7, 3003-3025 (2023). MSC: 14E05 14F43 PDFBibTeX XMLCite \textit{S. Rao} et al., Math. Nachr. 296, No. 7, 3003--3025 (2023; Zbl 07747072) Full Text: DOI arXiv
Tanania, Fabio Cellular objects in isotropic motivic categories. (English) Zbl 1527.14049 Geom. Topol. 27, No. 5, 2013-2048 (2023). MSC: 14F42 PDFBibTeX XMLCite \textit{F. Tanania}, Geom. Topol. 27, No. 5, 2013--2048 (2023; Zbl 1527.14049) Full Text: DOI arXiv
Fu, Lie; Hoskins, Victoria; Pepin Lehalleur, Simon Motives of moduli spaces of bundles on curves via variation of stability and flips. (English) Zbl 1524.14073 J. Lond. Math. Soc., II. Ser. 108, No. 1, 1-53 (2023). Reviewer: Leticia Brambila-Paz (Guanajuato) MSC: 14H60 14D20 14C15 14E05 PDFBibTeX XMLCite \textit{L. Fu} et al., J. Lond. Math. Soc., II. Ser. 108, No. 1, 1--53 (2023; Zbl 1524.14073) Full Text: DOI arXiv
Matsumoto, Keiho Gysin triangles in the category of motifs with modulus. (English) Zbl 1523.14007 J. Inst. Math. Jussieu 22, No. 5, 2131-2154 (2023). MSC: 14C15 PDFBibTeX XMLCite \textit{K. Matsumoto}, J. Inst. Math. Jussieu 22, No. 5, 2131--2154 (2023; Zbl 1523.14007) Full Text: DOI arXiv
Binda, Federico; Merici, Alberto; Saito, Shuji Derived log Albanese sheaves. (English) Zbl 1527.14046 Adv. Math. 417, Article ID 108936, 85 p. (2023). Reviewer: Tamás Szamuely (Pisa) MSC: 14F42 14A21 PDFBibTeX XMLCite \textit{F. Binda} et al., Adv. Math. 417, Article ID 108936, 85 p. (2023; Zbl 1527.14046) Full Text: DOI arXiv
Binda, Federico; Merici, Alberto Connectivity and purity for logarithmic motives. (English) Zbl 1519.14021 J. Inst. Math. Jussieu 22, No. 1, 335-381 (2023); erratum ibid. 22, No. 2, 1001-1002 (2023). MSC: 14F42 14F08 18G80 PDFBibTeX XMLCite \textit{F. Binda} and \textit{A. Merici}, J. Inst. Math. Jussieu 22, No. 1, 335--381 (2023; Zbl 1519.14021) Full Text: DOI arXiv
Rülling, Kay; Saito, Shuji Reciprocity sheaves and their ramification filtrations. (English) Zbl 07662115 J. Inst. Math. Jussieu 22, No. 1, 71-144 (2023). MSC: 14C25 14F20 14F42 19F15 PDFBibTeX XMLCite \textit{K. Rülling} and \textit{S. Saito}, J. Inst. Math. Jussieu 22, No. 1, 71--144 (2023; Zbl 07662115) Full Text: DOI arXiv
Shimizu, Yuri Universal birational invariants and \(\mathbb{A}^1\)-homology. (English) Zbl 1506.14046 Commun. Algebra 51, No. 2, 807-821 (2023). MSC: 14F42 19E15 PDFBibTeX XMLCite \textit{Y. Shimizu}, Commun. Algebra 51, No. 2, 807--821 (2023; Zbl 1506.14046) Full Text: DOI arXiv
Saito, Shuji Reciprocity sheaves and logarithmic motives. (English) Zbl 1516.14048 Compos. Math. 159, No. 2, 355-379 (2023). MSC: 14F42 14F06 14C25 14A21 PDFBibTeX XMLCite \textit{S. Saito}, Compos. Math. 159, No. 2, 355--379 (2023; Zbl 1516.14048) Full Text: DOI arXiv
Balmer, Paul; Gallauer, Martin Finite permutation resolutions. (English) Zbl 1522.20046 Duke Math. J. 172, No. 2, 201-229 (2023). Reviewer: Benoît Fresse (Villeneuve d’Ascq) MSC: 20C20 18G80 PDFBibTeX XMLCite \textit{P. Balmer} and \textit{M. Gallauer}, Duke Math. J. 172, No. 2, 201--229 (2023; Zbl 1522.20046) Full Text: DOI arXiv Link
Eberhardt, Jens Niklas \(K\)-motives and Koszul duality. (English) Zbl 07740271 Bull. Lond. Math. Soc. 54, No. 6, 2232-2253 (2022). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 17B10 14D24 19E15 PDFBibTeX XMLCite \textit{J. N. Eberhardt}, Bull. Lond. Math. Soc. 54, No. 6, 2232--2253 (2022; Zbl 07740271) Full Text: DOI arXiv OA License
Crawley-Boevey, William (ed.); Reineke, Markus (ed.); Stroppel, Catharina (ed.); Van den Bergh, Michel (ed.) Interactions between algebraic geometry and noncommutative algebra. Abstracts from the workshop held May 1–7, 2022. (English) Zbl 1519.00017 Oberwolfach Rep. 19, No. 2, 1239-1312 (2022). MSC: 00B05 00B25 17-06 14-06 17A36 14A22 14D20 16E35 PDFBibTeX XMLCite \textit{W. Crawley-Boevey} (ed.) et al., Oberwolfach Rep. 19, No. 2, 1239--1312 (2022; Zbl 1519.00017) Full Text: DOI
Dan-Cohen, Ishai; Schlank, Tomer M. Rational motivic path spaces and Kim’s relative unipotent section conjecture. (English) Zbl 1520.14048 Rend. Semin. Mat. Univ. Padova 148, 117-172 (2022). MSC: 14G05 14F42 14C15 55P62 PDFBibTeX XMLCite \textit{I. Dan-Cohen} and \textit{T. M. Schlank}, Rend. Semin. Mat. Univ. Padova 148, 117--172 (2022; Zbl 1520.14048) Full Text: DOI arXiv
Kaledin, D. Mackey profunctors. (English) Zbl 1502.18017 Memoirs of the American Mathematical Society 1385. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5536-1/pbk; 978-1-4704-7285-6/ebook). vii, 90 p. (2022). Reviewer: Ioan Pop (Iaşi) MSC: 18D60 18G99 20D99 20N99 18-02 PDFBibTeX XMLCite \textit{D. Kaledin}, Mackey profunctors. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1502.18017) Full Text: DOI arXiv
Binda, Federico; Rülling, Kay; Saito, Shuji On the cohomology of reciprocity sheaves. (English) Zbl 1506.14047 Forum Math. Sigma 10, Paper No. e72, 111 p. (2022). Reviewer: Takao Yamazaki (Chūō) MSC: 14F43 14F06 14C25 14F30 PDFBibTeX XMLCite \textit{F. Binda} et al., Forum Math. Sigma 10, Paper No. e72, 111 p. (2022; Zbl 1506.14047) Full Text: DOI arXiv
Bondarko, M. V.; Kumallagov, D. Z. Smooth weight structures and birationality filtrations on motivic categories. (English. Russian original) Zbl 1499.14043 St. Petersbg. Math. J. 33, No. 5, 777-796 (2022); translation from Algebra Anal. 33, No. 5, 51-79 (2021). MSC: 14F42 14C15 18C40 PDFBibTeX XMLCite \textit{M. V. Bondarko} and \textit{D. Z. Kumallagov}, St. Petersbg. Math. J. 33, No. 5, 777--796 (2022; Zbl 1499.14043); translation from Algebra Anal. 33, No. 5, 51--79 (2021) Full Text: DOI arXiv
Balmer, Paul; Gallauer, Martin Three real Artin-Tate motives. (English) Zbl 1499.14042 Adv. Math. 406, Article ID 108535, 68 p. (2022). Reviewer: Geoffrey Powell (Angers) MSC: 14F42 18G99 19E15 20C20 PDFBibTeX XMLCite \textit{P. Balmer} and \textit{M. Gallauer}, Adv. Math. 406, Article ID 108535, 68 p. (2022; Zbl 1499.14042) Full Text: DOI arXiv
Vishik, Alexander Isotropic motives. (English) Zbl 1499.14012 J. Inst. Math. Jussieu 21, No. 4, 1271-1330 (2022). Reviewer: Niels Feld (Toulouse) MSC: 14C15 14C25 19E15 14F42 PDFBibTeX XMLCite \textit{A. Vishik}, J. Inst. Math. Jussieu 21, No. 4, 1271--1330 (2022; Zbl 1499.14012) Full Text: DOI arXiv
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
Hemminger, David Detecting motivic equivalences with motivic homology. (English) Zbl 1484.14049 Proc. Am. Math. Soc., Ser. B 9, 180-185 (2022). MSC: 14F42 14C15 PDFBibTeX XMLCite \textit{D. Hemminger}, Proc. Am. Math. Soc., Ser. B 9, 180--185 (2022; Zbl 1484.14049) Full Text: DOI arXiv
Fu, Lie; Hoskins, Victoria; Lehalleur, Simon Pepin Motives of moduli spaces of rank 3 vector bundles and Higgs bundles on a curve. (English) Zbl 1527.14076 Electron. Res. Arch. 30, No. 1, 66-89 (2022). Reviewer: Alexandre Minets (Edinburgh) MSC: 14H60 PDFBibTeX XMLCite \textit{L. Fu} et al., Electron. Res. Arch. 30, No. 1, 66--89 (2022; Zbl 1527.14076) Full Text: DOI arXiv
Kai, Wataru; Otabe, Shusuke; Yamazaki, Takao Unramified logarithmic Hodge-Witt cohomology and \(\mathbb{P}^1\)-invariance. (English) Zbl 1489.14010 Forum Math. Sigma 10, Paper No. e19, 19 p. (2022). MSC: 14C15 14M20 PDFBibTeX XMLCite \textit{W. Kai} et al., Forum Math. Sigma 10, Paper No. e19, 19 p. (2022; Zbl 1489.14010) Full Text: DOI arXiv
Eberhardt, Jens Niklas; Stroppel, Catharina Motivic Springer theory. (English) Zbl 1482.14003 Indag. Math., New Ser. 33, No. 1, 190-217 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 14C15 14F08 16G20 20C08 PDFBibTeX XMLCite \textit{J. N. Eberhardt} and \textit{C. Stroppel}, Indag. Math., New Ser. 33, No. 1, 190--217 (2022; Zbl 1482.14003) Full Text: DOI arXiv
Binda, Federico; Krishna, Amalendu Zero-cycle groups on algebraic varieties. (Groupes de \(0\)-cycles sur les variétés algébriques.) (English. French summary) Zbl 1486.14013 J. Éc. Polytech., Math. 9, 281-325 (2022). Reviewer: Jinhyun Park (Daejeon) MSC: 14C25 14F42 19E15 PDFBibTeX XMLCite \textit{F. Binda} and \textit{A. Krishna}, J. Éc. Polytech., Math. 9, 281--325 (2022; Zbl 1486.14013) Full Text: DOI arXiv
Rülling, Kay; Sugiyama, Rin; Yamazaki, Takao Tensor structures in the theory of modulus presheaves with transfers. (English) Zbl 1492.14034 Math. Z. 300, No. 1, 929-977 (2022). Reviewer: Niels Feld (Toulouse) MSC: 14F42 19E15 19D45 PDFBibTeX XMLCite \textit{K. Rülling} et al., Math. Z. 300, No. 1, 929--977 (2022; Zbl 1492.14034) Full Text: DOI arXiv
Garkusha, Grigory; Jones, Darren Recollements for derived categories of enriched functors and triangulated categories of motives. (English) Zbl 1484.18005 J. Algebra 589, 238-272 (2022). MSC: 18D20 18G80 13D09 14F08 14F42 14C25 PDFBibTeX XMLCite \textit{G. Garkusha} and \textit{D. Jones}, J. Algebra 589, 238--272 (2022; Zbl 1484.18005) Full Text: DOI arXiv
Bulnes, Francisco Dual representation of the curvature in a Hilbert space: curvature and integral transforms. (English) Zbl 1499.53075 JP J. Geom. Topol. 26, No. 1, 39-51 (2021). MSC: 53B20 53B35 53C10 53C30 53C35 53C65 PDFBibTeX XMLCite \textit{F. Bulnes}, JP J. Geom. Topol. 26, No. 1, 39--51 (2021; Zbl 1499.53075) Full Text: DOI
Kelly, Shane; Saito, Shuji Smooth blowup square for motives with modulus. (English) Zbl 1484.14008 Bull. Pol. Acad. Sci., Math. 69, No. 2, 97-106 (2021). MSC: 14C15 14F42 PDFBibTeX XMLCite \textit{S. Kelly} and \textit{S. Saito}, Bull. Pol. Acad. Sci., Math. 69, No. 2, 97--106 (2021; Zbl 1484.14008) Full Text: DOI arXiv
Hoskins, Victoria; Pepin Lehalleur, Simon A formula for the Voevodsky motive of the moduli stack of vector bundles on a curve. (English) Zbl 07483974 Geom. Topol. 25, No. 7, 3555-3589 (2021). MSC: 14C15 14D23 PDFBibTeX XMLCite \textit{V. Hoskins} and \textit{S. Pepin Lehalleur}, Geom. Topol. 25, No. 7, 3555--3589 (2021; Zbl 07483974) Full Text: DOI arXiv
Park, Doosung Construction of triangulated categories of motives using the localization property. (English) Zbl 1484.14050 Kodai Math. J. 44, No. 2, 195-264 (2021). MSC: 14F42 19E15 18G80 PDFBibTeX XMLCite \textit{D. Park}, Kodai Math. J. 44, No. 2, 195--264 (2021; Zbl 1484.14050) Full Text: DOI arXiv
Kahn, Bruno Albanese kernels and Griffiths groups. (English) Zbl 1481.14016 Tunis. J. Math. 3, No. 3, 589-656 (2021). Reviewer: Sara Torelli (Pavia) MSC: 14C25 14D06 PDFBibTeX XMLCite \textit{B. Kahn}, Tunis. J. Math. 3, No. 3, 589--656 (2021; Zbl 1481.14016) Full Text: DOI arXiv
Dan-Cohen, Ishai; Schlank, Tomer Morphisms of rational motivic homotopy types. (English) Zbl 1483.18015 Appl. Categ. Struct. 29, No. 2, 311-347 (2021). MSC: 18F25 14F35 18N55 55P62 14C15 14F42 PDFBibTeX XMLCite \textit{I. Dan-Cohen} and \textit{T. Schlank}, Appl. Categ. Struct. 29, No. 2, 311--347 (2021; Zbl 1483.18015) Full Text: DOI arXiv
Ayoub, Joseph \(\mathbb{P}^1\)-localization and an arithmetic Kodaira-Spencer class. (\(\mathbb{P}^1\)-localisation et une classe de Kodaira-Spencer arithmétique.) (French) Zbl 1474.14008 Tunis. J. Math. 3, No. 2, 259-308 (2021). MSC: 14A30 14F10 14F40 14F42 14G25 14F06 PDFBibTeX XMLCite \textit{J. Ayoub}, Tunis. J. Math. 3, No. 2, 259--308 (2021; Zbl 1474.14008) Full Text: DOI
Rella, Claudia An introduction to motivic Feynman integrals. (English) Zbl 1473.81067 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 032, 56 p. (2021). Reviewer: Juan Carlos Vasquez (Amherst) MSC: 81Q30 81T18 81T15 14C15 14C30 14F40 11R32 81-02 14-02 PDFBibTeX XMLCite \textit{C. Rella}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 032, 56 p. (2021; Zbl 1473.81067) Full Text: DOI arXiv
Tanania, Fabio Isotropic stable motivic homotopy groups of spheres. (English) Zbl 1471.14053 Adv. Math. 383, Article ID 107696, 28 p. (2021). MSC: 14F42 55Q40 55S10 PDFBibTeX XMLCite \textit{F. Tanania}, Adv. Math. 383, Article ID 107696, 28 p. (2021; Zbl 1471.14053) Full Text: DOI arXiv
Bachmann, Tom Rigidity in étale motivic stable homotopy theory. (English) Zbl 1483.14035 Algebr. Geom. Topol. 21, No. 1, 173-209 (2021). Reviewer: Peng Du (Nottingham) MSC: 14F20 14F42 PDFBibTeX XMLCite \textit{T. Bachmann}, Algebr. Geom. Topol. 21, No. 1, 173--209 (2021; Zbl 1483.14035) Full Text: DOI arXiv
Floccari, Salvatore; Fu, Lie; Zhang, Ziyu On the motive of O’Grady’s ten-dimensional hyper-Kähler varieties. (English) Zbl 1458.14016 Commun. Contemp. Math. 23, No. 4, Article ID 2050034, 50 p. (2021). Reviewer: Shintaro Yanagida (Nagoya) MSC: 14D20 14C15 14J42 14J28 14J32 53C26 PDFBibTeX XMLCite \textit{S. Floccari} et al., Commun. Contemp. Math. 23, No. 4, Article ID 2050034, 50 p. (2021; Zbl 1458.14016) Full Text: DOI arXiv
Sakugawa, Kenji Generalized Beilinson elements and generalized Soulé characters. (English) Zbl 1469.11224 Can. J. Math. 73, No. 2, 542-571 (2021). MSC: 11G55 14H45 PDFBibTeX XMLCite \textit{K. Sakugawa}, Can. J. Math. 73, No. 2, 542--571 (2021; Zbl 1469.11224) Full Text: DOI
Park, Jun-Yong; Spink, Hunter Motive of the moduli stack of rational curves on a weighted projective stack. (English) Zbl 1457.14063 Res. Math. Sci. 8, No. 1, Paper No. 1, 8 p. (2021). MSC: 14H10 14A20 14C35 PDFBibTeX XMLCite \textit{J.-Y. Park} and \textit{H. Spink}, Res. Math. Sci. 8, No. 1, Paper No. 1, 8 p. (2021; Zbl 1457.14063) Full Text: DOI arXiv
Hübner, Katharina; Schmidt, Alexander The tame site of a scheme. (English) Zbl 1490.14030 Invent. Math. 223, No. 2, 379-443 (2021). Reviewer: Peng Du (Nottingham) MSC: 14F20 11S15 14F42 PDFBibTeX XMLCite \textit{K. Hübner} and \textit{A. Schmidt}, Invent. Math. 223, No. 2, 379--443 (2021; Zbl 1490.14030) Full Text: DOI arXiv
Krishna, Amalendu; Pelaez, Pablo Motivic spectral sequence for relative homotopy \(K\)-theory. (English) Zbl 1477.19004 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 411-447 (2020). Reviewer: Ben Williams (Vancouver) MSC: 19E15 14C25 14F42 PDFBibTeX XMLCite \textit{A. Krishna} and \textit{P. Pelaez}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 411--447 (2020; Zbl 1477.19004) Full Text: DOI arXiv
Iwanari, Isamu Motivic rational homotopy type. (English) Zbl 07308121 High. Struct. 4, No. 2, 57-133 (2020). MSC: 14F35 55P62 19E15 PDFBibTeX XMLCite \textit{I. Iwanari}, High. Struct. 4, No. 2, 57--133 (2020; Zbl 07308121) Full Text: arXiv
Tabuada, Gonçalo Schur-finiteness (and Bass-finiteness) conjecture for quadric fibrations and families of sextic du Val del Pezzo surfaces. (English) Zbl 1460.14007 Doc. Math. 25, 2339-2354 (2020). MSC: 14A22 14C15 14D06 PDFBibTeX XMLCite \textit{G. Tabuada}, Doc. Math. 25, 2339--2354 (2020; Zbl 1460.14007) Full Text: DOI arXiv
Blanco-Chacón, Iván; Fornea, Michele Twisted triple product \(p\)-adic \(L\)-functions and Hirzebruch-Zagier cycles. (English) Zbl 1465.11128 J. Inst. Math. Jussieu 19, No. 6, 1947-1992 (2020). MSC: 11F67 11G18 11F41 11F33 11F70 PDFBibTeX XMLCite \textit{I. Blanco-Chacón} and \textit{M. Fornea}, J. Inst. Math. Jussieu 19, No. 6, 1947--1992 (2020; Zbl 1465.11128) Full Text: DOI arXiv
Grossi, Giada On norm relations for Asai-Flach classes. (English) Zbl 1457.11051 Int. J. Number Theory 16, No. 10, 2311-2377 (2020). MSC: 11F41 11F70 11F80 14G35 PDFBibTeX XMLCite \textit{G. Grossi}, Int. J. Number Theory 16, No. 10, 2311--2377 (2020; Zbl 1457.11051) Full Text: DOI arXiv
van Dobben de Bruyn, Remy; Paulsen, Matthias The construction problem for Hodge numbers modulo an integer in positive characteristic. (English) Zbl 1460.14025 Forum Math. Sigma 8, Paper No. e45, 13 p. (2020); erratum ibid. 9, Paper No. e21, 2 p. (2021). MSC: 14C30 14G17 14A10 PDFBibTeX XMLCite \textit{R. van Dobben de Bruyn} and \textit{M. Paulsen}, Forum Math. Sigma 8, Paper No. e45, 13 p. (2020; Zbl 1460.14025) Full Text: DOI arXiv
Kelly, Shane Some observations about motivic tensor triangulated geometry over a finite field. (English) Zbl 1458.14028 Ohsawa, Takeo (ed.) et al., Bousfield classes and Ohkawa’s theorem. Selected contributions given at the workshop, Nagoya, Japan, August 28–30, 2015. Singapore: Springer. Springer Proc. Math. Stat. 309, 221-243 (2020). MSC: 14F42 14-01 18-01 18G80 PDFBibTeX XMLCite \textit{S. Kelly}, Springer Proc. Math. Stat. 309, 221--243 (2020; Zbl 1458.14028) Full Text: DOI arXiv
Corwin, David; Dan-Cohen, Ishai The polylog quotient and the Goncharov quotient in computational Chabauty-Kim theory. I. (English) Zbl 1453.11088 Int. J. Number Theory 16, No. 8, 1859-1905 (2020). MSC: 11G55 11S80 11D99 PDFBibTeX XMLCite \textit{D. Corwin} and \textit{I. Dan-Cohen}, Int. J. Number Theory 16, No. 8, 1859--1905 (2020; Zbl 1453.11088) Full Text: DOI arXiv
Miyazaki, Hiroyasu Nisnevich topology with modulus. (English) Zbl 1440.14105 Ann. \(K\)-Theory 5, No. 3, 581-604 (2020). MSC: 14F20 14C25 18F10 19E15 PDFBibTeX XMLCite \textit{H. Miyazaki}, Ann. \(K\)-Theory 5, No. 3, 581--604 (2020; Zbl 1440.14105) Full Text: DOI arXiv
Tabuada, Gonçalo Noncommutative counterparts of celebrated conjectures. (English) Zbl 1456.46063 Cortiñas, Guillermo (ed.) et al., \(K\)-theory in algebra, analysis and topology. ICM 2018 satellite school and workshop, La Plata and Buenos Aires, Argentina, July 16–20 and July 23–27, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 749, 353-377 (2020). MSC: 46L89 46-02 00A27 PDFBibTeX XMLCite \textit{G. Tabuada}, Contemp. Math. 749, 353--377 (2020; Zbl 1456.46063) Full Text: DOI arXiv
Vaish, Vaibhav Punctual gluing of \(t\)-structures and weight structures. (English) Zbl 1460.14047 Manuscr. Math. 162, No. 3-4, 341-366 (2020). MSC: 14F08 14F42 14H40 14K30 18G80 PDFBibTeX XMLCite \textit{V. Vaish}, Manuscr. Math. 162, No. 3--4, 341--366 (2020; Zbl 1460.14047) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Saito}, Adv. Math. 366, Article ID 107067, 70 p. (2020; Zbl 1437.19001) Full Text: DOI arXiv
Vishik, Alexander Operations and poly-operations in algebraic cobordism. (English) Zbl 1444.14052 Adv. Math. 366, Article ID 107066, 56 p. (2020). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 19L10 55N20 PDFBibTeX XMLCite \textit{A. Vishik}, Adv. Math. 366, Article ID 107066, 56 p. (2020; Zbl 1444.14052) Full Text: DOI arXiv
Levine, Marc Book review of: A. Huber and S. Müller-Stach. Periods and Nori motives. (English) Zbl 1456.00023 Jahresber. Dtsch. Math.-Ver. 122, No. 1, 65-70 (2020). MSC: 00A17 14-02 14F40 14F42 14C30 PDFBibTeX XMLCite \textit{M. Levine}, Jahresber. Dtsch. Math.-Ver. 122, No. 1, 65--70 (2020; Zbl 1456.00023) Full Text: DOI
Richarz, Timo; Scholbach, Jakob The intersection motive of the moduli stack of shtukas. (English) Zbl 1506.14045 Forum Math. Sigma 8, Paper No. e8, 99 p. (2020). MSC: 14F42 14D23 19E15 14M15 20G05 PDFBibTeX XMLCite \textit{T. Richarz} and \textit{J. Scholbach}, Forum Math. Sigma 8, Paper No. e8, 99 p. (2020; Zbl 1506.14045) Full Text: DOI arXiv
Kelly, Shane A better comparison of \(\mathrm{cdh}\)- and \(l\mathrm{dh}\)-cohomologies. (English) Zbl 1442.14081 Nagoya Math. J. 236, 183-213 (2019). MSC: 14F42 18F10 14A05 PDFBibTeX XMLCite \textit{S. Kelly}, Nagoya Math. J. 236, 183--213 (2019; Zbl 1442.14081) Full Text: DOI arXiv
Tanania, Fabio Subtle characteristic classes and Hermitian forms. (English) Zbl 1453.14069 Doc. Math. 24, 2493-2523 (2019). MSC: 14F42 11E39 20G15 55R40 PDFBibTeX XMLCite \textit{F. Tanania}, Doc. Math. 24, 2493--2523 (2019; Zbl 1453.14069) Full Text: DOI arXiv
Kolderup, Håkon Homotopy invariance of Nisnevich sheaves with Milnor-Witt transfers. (English) Zbl 1430.14042 Doc. Math. 24, 2339-2379 (2019). Reviewer: Christian Dahlhausen (Zürich) MSC: 14F06 14F20 14F35 14F42 19E15 PDFBibTeX XMLCite \textit{H. Kolderup}, Doc. Math. 24, 2339--2379 (2019; Zbl 1430.14042) Full Text: DOI arXiv
Sosnilo, Vladimir Theorem of the heart in negative \(K\)-theory for weight structures. (English) Zbl 1441.18008 Doc. Math. 24, 2137-2158 (2019). MSC: 18E05 14F42 18G80 19D35 19E99 PDFBibTeX XMLCite \textit{V. Sosnilo}, Doc. Math. 24, 2137--2158 (2019; Zbl 1441.18008) Full Text: DOI arXiv
Fu, Lie; Nguyen, Manh Toan Orbifold products for higher \(K\)-theory and motivic cohomology. (English) Zbl 1426.19003 Doc. Math. 24, 1769-1810 (2019). Reviewer: Daniel Juan Pineda (Michoacan) MSC: 19E08 19E15 14F42 14C35 14C15 PDFBibTeX XMLCite \textit{L. Fu} and \textit{M. T. Nguyen}, Doc. Math. 24, 1769--1810 (2019; Zbl 1426.19003) Full Text: DOI arXiv
Gallauer, Martin tt-geometry of Tate motives over algebraically closed fields. (English) Zbl 1498.14049 Compos. Math. 155, No. 10, 1888-1923 (2019). MSC: 14F42 14C15 18G80 19E15 PDFBibTeX XMLCite \textit{M. Gallauer}, Compos. Math. 155, No. 10, 1888--1923 (2019; Zbl 1498.14049) Full Text: DOI arXiv
Zargar, Masoud Comparison of stable homotopy categories and a generalized Suslin-Voevodsky theorem. (English) Zbl 1469.14049 Adv. Math. 354, Article ID 106744, 33 p. (2019). Reviewer: Peng Du (Nottingham) MSC: 14F42 14F20 PDFBibTeX XMLCite \textit{M. Zargar}, Adv. Math. 354, Article ID 106744, 33 p. (2019; Zbl 1469.14049) Full Text: DOI arXiv
Bondarko, M. V.; Kumallagov, D. Z. On Chow weight structures without projectivity and resolution of singularities. (English. Russian original) Zbl 1423.14030 St. Petersbg. Math. J. 30, No. 5, 803-819 (2019); translation from Algebra Anal. 30, No. 5, 57-83 (2018). MSC: 14C15 14F42 18E30 14C35 PDFBibTeX XMLCite \textit{M. V. Bondarko} and \textit{D. Z. Kumallagov}, St. Petersbg. Math. J. 30, No. 5, 803--819 (2019; Zbl 1423.14030); translation from Algebra Anal. 30, No. 5, 57--83 (2018) Full Text: DOI arXiv
Vishik, Alexander Affine quadrics and the Picard group of the motivic category. (English) Zbl 1430.14013 Compos. Math. 155, No. 8, 1500-1520 (2019). Reviewer: Piotr Krasoń (Szczecin) MSC: 14C15 11E04 14C25 PDFBibTeX XMLCite \textit{A. Vishik}, Compos. Math. 155, No. 8, 1500--1520 (2019; Zbl 1430.14013) Full Text: DOI arXiv
Bussi, Vittoria; Joyce, Dominic; Meinhardt, Sven On motivic vanishing cycles of critical loci. (English) Zbl 1441.14059 J. Algebr. Geom. 28, No. 3, 405-438 (2019). MSC: 14F08 14E18 14N35 PDFBibTeX XMLCite \textit{V. Bussi} et al., J. Algebr. Geom. 28, No. 3, 405--438 (2019; Zbl 1441.14059) Full Text: DOI arXiv
Tabuada, Gonçalo Noncommutative motives in positive characteristic and their applications. (English) Zbl 1441.14009 Adv. Math. 349, 648-681 (2019). MSC: 14A22 14C15 14G10 14F08 14F30 11M55 19D55 PDFBibTeX XMLCite \textit{G. Tabuada}, Adv. Math. 349, 648--681 (2019; Zbl 1441.14009) Full Text: DOI arXiv
Antieau, Benjamin; Gepner, David; Heller, Jeremiah \(K\)-theoretic obstructions to bounded \(t\)-structures. (English) Zbl 1430.18009 Invent. Math. 216, No. 1, 241-300 (2019). Reviewer: Lia Vas (Philadelphia) MSC: 18G80 19D35 16E45 18E10 14F08 18N60 PDFBibTeX XMLCite \textit{B. Antieau} et al., Invent. Math. 216, No. 1, 241--300 (2019; Zbl 1430.18009) Full Text: DOI arXiv Link
Eberhardt, Jens Niklas; Kelly, Shane Mixed motives and geometric representation theory in equal characteristic. (English) Zbl 1444.14046 Sel. Math., New Ser. 25, No. 2, Paper No. 30, 54 p. (2019). MSC: 14F08 14C15 14M15 19D45 20G40 PDFBibTeX XMLCite \textit{J. N. Eberhardt} and \textit{S. Kelly}, Sel. Math., New Ser. 25, No. 2, Paper No. 30, 54 p. (2019; Zbl 1444.14046) Full Text: DOI arXiv
Bachmann, Tom Affine Grassmannians in \(\mathbb{A}^1\)-homotopy theory. (English) Zbl 1445.14037 Sel. Math., New Ser. 25, No. 2, Paper No. 25, 14 p. (2019). Reviewer: Stephen McKean (Durham) MSC: 14F42 14D24 PDFBibTeX XMLCite \textit{T. Bachmann}, Sel. Math., New Ser. 25, No. 2, Paper No. 25, 14 p. (2019; Zbl 1445.14037) Full Text: DOI arXiv Backlinks: MO
Goncharov, Alexander B. Hodge correlators. (English) Zbl 1408.14028 J. Reine Angew. Math. 748, 1-138 (2019). Reviewer: Alberto Collino (Verzuolo) MSC: 14C30 14D07 32G20 32J27 32U40 PDFBibTeX XMLCite \textit{A. B. Goncharov}, J. Reine Angew. Math. 748, 1--138 (2019; Zbl 1408.14028) Full Text: DOI arXiv Link
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
Marcolli, Matilde; Tabuada, Gonçalo Feynman quadrics-motive of the massive sunset graph. (English) Zbl 1403.14017 J. Number Theory 195, 159-183 (2019). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 14C15 14H40 81Q30 81T18 PDFBibTeX XMLCite \textit{M. Marcolli} and \textit{G. Tabuada}, J. Number Theory 195, 159--183 (2019; Zbl 1403.14017) Full Text: DOI arXiv Link
Kelly, Shane An isomorphism by Suslin. (Un isomorphisme de Suslin.) (French. English summary) Zbl 1420.14043 Bull. Soc. Math. Fr. 146, No. 4, 633-647 (2018). Reviewer: Fangzhou Jin (Essen) MSC: 14F20 19E15 14C15 PDFBibTeX XMLCite \textit{S. Kelly}, Bull. Soc. Math. Fr. 146, No. 4, 633--647 (2018; Zbl 1420.14043) Full Text: DOI arXiv
Garkusha, Grigory Comparing motives of smooth algebraic varieties. (Comparaison des motifs de variétés algébriques lisses.) (English. French summary) Zbl 1408.14016 C. R., Math., Acad. Sci. Paris 356, No. 11-12, 1100-1105 (2018). MSC: 14C15 14F42 18D10 18E30 PDFBibTeX XMLCite \textit{G. Garkusha}, C. R., Math., Acad. Sci. Paris 356, No. 11--12, 1100--1105 (2018; Zbl 1408.14016) Full Text: DOI arXiv
Beilinson, A. A.; Vishik, A. S.; Kazhdan, D. A.; Kapranov, M. M.; Merkurjev, A. S.; Orlov, D. O.; Panin, I. A.; Suslin, A. A.; Tyurin, N. A.; Shabat, G. B. Vladimir Aleksandrovich Voevodsky. (English. Russian original) Zbl 1402.01013 Russ. Math. Surv. 73, No. 3, 519-531 (2018); translation from Usp. Mat. Nauk 73, No. 3, 157-168 (2018). MSC: 01A70 PDFBibTeX XMLCite \textit{A. A. Beilinson} et al., Russ. Math. Surv. 73, No. 3, 519--531 (2018; Zbl 1402.01013); translation from Usp. Mat. Nauk 73, No. 3, 157--168 (2018) Full Text: DOI
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
Vaish, Vaibhav On weight truncations in the motivic setting. (English) Zbl 1397.14039 Adv. Math. 338, 339-400 (2018). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 14F05 PDFBibTeX XMLCite \textit{V. Vaish}, Adv. Math. 338, 339--400 (2018; Zbl 1397.14039) Full Text: DOI arXiv
Tabuada, Gonçalo Recent developments on noncommutative motives. (English) Zbl 1397.14013 Kitchloo, Nitya (ed.) et al., New directions in homotopy theory. Second Mid-Atlantic Topology Conference, Johns Hopkins University, Baltimore, MD, USA, March 12–13, 2016. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3774-9/hbk; 978-1-4704-4772-4/ebook). Contemporary Mathematics 707, 143-173 (2018). MSC: 14C15 14A22 14F42 14C25 14C35 PDFBibTeX XMLCite \textit{G. Tabuada}, Contemp. Math. 707, 143--173 (2018; Zbl 1397.14013) Full Text: DOI arXiv
Druzhinin, A. Nisnevich sheafification of a homotopy invariant presheaf with transfers. (English. Russian original) Zbl 1399.14013 St. Petersbg. Math. J. 29, No. 6, 863-886 (2018); translation from Algebra Anal. 29, No. 6, 1-34 (2017). MSC: 14F42 14F05 14C15 PDFBibTeX XMLCite \textit{A. Druzhinin}, St. Petersbg. Math. J. 29, No. 6, 863--886 (2018; Zbl 1399.14013); translation from Algebra Anal. 29, No. 6, 1--34 (2017) Full Text: DOI
Bondarko, Mikhail V.; Sosnilo, Vladimir A. Non-commutative localizations of additive categories and weight structures. (English) Zbl 1434.18006 J. Inst. Math. Jussieu 17, No. 4, 785-821 (2018). MSC: 18E35 16S85 14C15 18E05 14F42 19E15 16U20 18G35 16E20 PDFBibTeX XMLCite \textit{M. V. Bondarko} and \textit{V. A. Sosnilo}, J. Inst. Math. Jussieu 17, No. 4, 785--821 (2018; Zbl 1434.18006) Full Text: DOI arXiv
Huber-Klawitter, Annette; Kelly, Shane Differential forms in positive characteristic. II: cdh-descent via functorial Riemann-Zariski spaces. (English) Zbl 1423.14166 Algebra Number Theory 12, No. 3, 649-692 (2018). MSC: 14G17 14F20 PDFBibTeX XMLCite \textit{A. Huber-Klawitter} and \textit{S. Kelly}, Algebra Number Theory 12, No. 3, 649--692 (2018; Zbl 1423.14166) Full Text: DOI arXiv
Huber, Annette; Kings, Guido Polylogarithm for families of commutative group schemes. (English) Zbl 1464.14012 J. Algebr. Geom. 27, No. 3, 449-495 (2018). Reviewer: Giuseppe Ancona (Strasbourg) MSC: 14C25 19E15 14F42 14L15 11G40 PDFBibTeX XMLCite \textit{A. Huber} and \textit{G. Kings}, J. Algebr. Geom. 27, No. 3, 449--495 (2018; Zbl 1464.14012) Full Text: DOI arXiv
Bachmann, Tom; Vishik, Alexander Motivic equivalence of affine quadrics. (English) Zbl 1391.14039 Math. Ann. 371, No. 1-2, 741-751 (2018). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 PDFBibTeX XMLCite \textit{T. Bachmann} and \textit{A. Vishik}, Math. Ann. 371, No. 1--2, 741--751 (2018; Zbl 1391.14039) Full Text: DOI arXiv Link
Totaro, Burt Adjoint functors on the derived category of motives. (English) Zbl 1423.14159 J. Inst. Math. Jussieu 17, No. 3, 489-507 (2018). MSC: 14F42 14C15 18E30 PDFBibTeX XMLCite \textit{B. Totaro}, J. Inst. Math. Jussieu 17, No. 3, 489--507 (2018; Zbl 1423.14159) Full Text: DOI arXiv
Kahn, Bruno; Sujatha, R. The derived functors of unramified cohomology. (English) Zbl 1393.19005 Sel. Math., New Ser. 24, No. 2, 1121-1146 (2018). Reviewer: Alberto Collino (Verzuolo) MSC: 19E15 14E99 PDFBibTeX XMLCite \textit{B. Kahn} and \textit{R. Sujatha}, Sel. Math., New Ser. 24, No. 2, 1121--1146 (2018; Zbl 1393.19005) Full Text: DOI arXiv
Dupont, Clément [Zagier, Don] Odd zeta motive and linear forms in odd zeta values. (English) Zbl 1479.11139 Compos. Math. 154, No. 2, 342-379 (2018). MSC: 11M06 14F42 14G10 PDFBibTeX XMLCite \textit{C. Dupont}, Compos. Math. 154, No. 2, 342--379 (2018; Zbl 1479.11139) Full Text: DOI arXiv
Rülling, Kay; Saito, Shuji Higher Chow groups with modulus and relative Milnor \(K\)-theory. (English) Zbl 1423.14041 Trans. Am. Math. Soc. 370, No. 2, 987-1043 (2018). MSC: 14C15 14C25 14F42 19E15 PDFBibTeX XMLCite \textit{K. Rülling} and \textit{S. Saito}, Trans. Am. Math. Soc. 370, No. 2, 987--1043 (2018; Zbl 1423.14041) Full Text: DOI arXiv
Tabuada, Gonçalo; Van den Bergh, Michel The Gysin triangle via localization and \(A^1\)-homotopy invariance. (English) Zbl 1387.14018 Trans. Am. Math. Soc. 370, No. 1, 421-446 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 14C15 14F42 18D20 19D55 PDFBibTeX XMLCite \textit{G. Tabuada} and \textit{M. Van den Bergh}, Trans. Am. Math. Soc. 370, No. 1, 421--446 (2018; Zbl 1387.14018) 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
Achinger, Piotr; Zdanowicz, Maciej Some elementary examples of non-liftable varieties. (English) Zbl 1386.14056 Proc. Am. Math. Soc. 145, No. 11, 4717-4729 (2017). MSC: 14D15 14G17 PDFBibTeX XMLCite \textit{P. Achinger} and \textit{M. Zdanowicz}, Proc. Am. Math. Soc. 145, No. 11, 4717--4729 (2017; Zbl 1386.14056) Full Text: DOI arXiv Backlinks: MO
Tabuada, Gonçalo Kimura-finiteness of quadric fibrations over smooth curves. (Finitude à la Kimura de fibrations en quadriques sur des courbes lisses.) (English. French summary) Zbl 1368.14009 C. R., Math., Acad. Sci. Paris 355, No. 6, 628-632 (2017). MSC: 14C15 14D06 PDFBibTeX XMLCite \textit{G. Tabuada}, C. R., Math., Acad. Sci. Paris 355, No. 6, 628--632 (2017; Zbl 1368.14009) Full Text: DOI arXiv
Ross, Joseph Cohomology of presheaves with oriented weak transfers. (English) Zbl 1439.14081 J. Algebr. Geom. 26, No. 3, 557-602 (2017). MSC: 14F42 14F06 14F20 PDFBibTeX XMLCite \textit{J. Ross}, J. Algebr. Geom. 26, No. 3, 557--602 (2017; Zbl 1439.14081) Full Text: DOI arXiv
Pelaez, Pablo Mixed motives and motivic birational covers. (English) Zbl 1368.14012 J. Pure Appl. Algebra 221, No. 7, 1699-1716 (2017). Reviewer: Steven E. Landsburg (Pittsford) MSC: 14C25 14C35 14F42 19E15 18G55 55P42 PDFBibTeX XMLCite \textit{P. Pelaez}, J. Pure Appl. Algebra 221, No. 7, 1699--1716 (2017; Zbl 1368.14012) Full Text: DOI arXiv
Weißschuh, Thomas A commutative regulator map into Deligne-Beilinson cohomology. (English) Zbl 1390.14035 Manuscr. Math. 152, No. 3-4, 281-315 (2017). Reviewer: Fumio Hazama (Hatoyama) MSC: 14C25 32C30 PDFBibTeX XMLCite \textit{T. Weißschuh}, Manuscr. Math. 152, No. 3--4, 281--315 (2017; Zbl 1390.14035) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{T. Bachmann}, Doc. Math. 22, 363--395 (2017; Zbl 1420.14011) Full Text: arXiv EMIS
Bondarko, Mikhail; Tabuada, Gonçalo Picard groups, weight structures, and (noncommutative) mixed motives. (English) Zbl 1390.14010 Doc. Math. 22, 45-66 (2017). MSC: 14A22 14C15 14F42 18E30 55P43 PDFBibTeX XMLCite \textit{M. Bondarko} and \textit{G. Tabuada}, Doc. Math. 22, 45--66 (2017; Zbl 1390.14010) Full Text: arXiv EMIS
Ivorra, Florian; Rülling, Kay \(K\)-groups of reciprocity functors. (English) Zbl 1360.19007 J. Algebr. Geom. 26, No. 2, 199-278 (2017). Reviewer: Piotr Krasoń (Szczecin) MSC: 19E15 14F42 19F15 PDFBibTeX XMLCite \textit{F. Ivorra} and \textit{K. Rülling}, J. Algebr. Geom. 26, No. 2, 199--278 (2017; Zbl 1360.19007) Full Text: DOI arXiv