Ivorra, Florian; Morel, Sophie The four operations on perverse motives. (English) Zbl 07927732 J. Eur. Math. Soc. (JEMS) 26, No. 11, 4191-4272 (2024). MSC: 14F42 14F43 18G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pavia, Emanuele Mixed graded structure on Chevalley-Eilenberg functors. (English) Zbl 07857685 Adv. Math. 448, Article ID 109721, 71 p. (2024). MSC: 55N25 17B56 18N99 55P48 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Asakura, Masanori; Miyatani, Kazuaki Milnor \(K\)-theory, \(F\)-isocrystals and syntomic regulators. (English) Zbl 1542.19001 J. Inst. Math. Jussieu 23, No. 3, 1357-1415 (2024). Reviewer: Kazuki Yamada (Tōkyō) MSC: 19E20 14F30 11G07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruimy, Raphaël Artin perverse sheaves. (English) Zbl 07796395 J. Algebra 639, 596-677 (2024). MSC: 14F42 14C15 14F20 18G80 14F30 14F43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Chunyi; Pertusi, Laura; Zhao, Xiaolei Derived categories of hearts on Kuznetsov components. (English) Zbl 1532.14039 J. Lond. Math. Soc., II. Ser. 108, No. 6, 2146-2174 (2023). Reviewer: Reginald Anderson (Manhattan) MSC: 14F08 14J30 14J35 14J45 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pavia, Emanuele A \(t\)-structure on the \(\infty\)-category of mixed graded modules. (English) Zbl 1527.18023 J. Homotopy Relat. Struct. 18, No. 2-3, 177-218 (2023). MSC: 18N60 16D90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hanihara, Norihiro Yoneda algebras and their singularity categories. (English) Zbl 1531.18012 Proc. Lond. Math. Soc. (3) 124, No. 6, 854-898 (2022). Reviewer: George Ciprian Modoi (Cluj-Napoca) MSC: 18G80 16E35 16G50 16E65 16P70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eberhardt, Jens Niklas \(K\)-motives and Koszul duality. (English) Zbl 1530.17007 Bull. Lond. Math. Soc. 54, No. 6, 2232-2253 (2022). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 17B10 14D24 19E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bezrukavnikov, Roman; Riche, Simon A topological approach to Soergel theory. (English) Zbl 1497.18019 Baranovsky, Vladimir (ed.) et al., Representation theory and algebraic geometry. A conference celebrating the birthdays of Sasha Beilinson and Victor Ginzburg, Chicago, IL, USA, August 21–25, 2017. Cham: Birkhäuser. Trends Math., 267-343 (2022). MSC: 18G80 20G05 14F08 14M15 17B37 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Gallauer, Martin Supports for constructible systems. (English) Zbl 1509.14046 Doc. Math. 27, 1739-1772 (2022). MSC: 14F20 14F08 14F25 14F42 18G80 18M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lorenzin, Antonio Compatibility of t-structures in a semiorthogonal decomposition. (English) Zbl 1498.18017 Appl. Categ. Struct. 30, No. 4, 755-778 (2022). Reviewer: George Ciprian Modoi (Cluj-Napoca) MSC: 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moulinos, Tasos The geometry of filtrations. (English) Zbl 1485.14031 Bull. Lond. Math. Soc. 53, No. 5, 1486-1499 (2021). MSC: 14F08 14A20 55P42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bezrukavnikov, Roman; Vilonen, Kari Koszul duality for quasi-split real groups. (English) Zbl 1484.14023 Invent. Math. 226, No. 1, 139-193 (2021). Reviewer: Yuval Z. Flicker (Jerusalem) MSC: 14D24 14F08 22E47 17B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hennion, Benjamin The tangent complex of \(K\)-theory. (Le complexe tangent de la \(K\)-théorie.) (English. French summary) Zbl 1475.19003 J. Éc. Polytech., Math. 8, 895-932 (2021). MSC: 19E20 14C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Chao Bounded t-structures on the bounded derived category of coherent sheaves over a weighted projective line. (English) Zbl 1476.14045 Algebr. Represent. Theory 23, No. 6, 2167-2235 (2020). MSC: 14F08 14A22 16E35 16E60 18G80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xiao-Wu; Han, Zhe; Zhou, Yu Derived equivalences via HRS-tilting. (English) Zbl 1457.18018 Adv. Math. 354, Article ID 106749, 26 p. (2019). Reviewer: Aran Tattar (Leicester) MSC: 18G80 18E40 18E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ivorra, Florian; Sebag, Julien Artin motives, weights, and motivic nearby sheaves. (English) Zbl 1439.14026 Mich. Math. J. 68, No. 2, 337-376 (2019). MSC: 14B20 14C15 14F42 14G22 32S30 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Modoi, George Ciprian Reasonable triangulated categories have filtered enhancements. (English) Zbl 1411.18017 Proc. Am. Math. Soc. 147, No. 7, 2761-2773 (2019). MSC: 18E30 55U35 18D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter Topological Hochschild homology and integral \(p\)-adic Hodge theory. (English) Zbl 1478.14039 Publ. Math., Inst. Hautes Étud. Sci. 129, 199-310 (2019). Reviewer: Tobias Shin (Stony Brook) MSC: 14F30 55P42 14C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chiarellotto, Bruno; Lazda, Christopher; Mazzari, Nicola The filtered Ogus realisation of motives. (English) Zbl 1439.14078 J. Algebra 527, 348-365 (2019). MSC: 14F42 11F75 11G09 14F30 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achar, Pramod N.; Makisumi, Shotaro; Riche, Simon; Williamson, Geordie Koszul duality for Kac-Moody groups and characters of tilting modules. (English) Zbl 1450.20011 J. Am. Math. Soc. 32, No. 1, 261-310 (2019). Reviewer: Carl Mautner (Bonn) MSC: 20G05 20G44 17B10 20C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Bras, Arthur-César Banach-Colmez spaces and coherent sheaves on the Fargues-Fontaine curve. (Espaces de Banach-Colmez et faisceaux cohérents sur la courbe de Fargues-Fontaine.) (English) Zbl 1439.14085 Duke Math. J. 167, No. 18, 3455-3532 (2018). MSC: 14G22 14F30 14F08 14G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Abe, Tomoyuki Langlands correspondence for isocrystals and the existence of crystalline companions for curves. (English) Zbl 1420.14044 J. Am. Math. Soc. 31, No. 4, 921-1057 (2018). MSC: 14F30 11R39 11S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaledin, D. Co-periodic cyclic homology. (English) Zbl 1430.14022 Adv. Math. 334, 81-150 (2018). Reviewer: Atabey Kaygun (Istanbul) MSC: 14C30 19D55 14F08 16E40 18G80 18G90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abe, Tomoyuki; Caro, Daniel On Beilinson’s equivalence for \(p\)-adic cohomology. (English) Zbl 1427.14043 Sel. Math., New Ser. 24, No. 2, 591-608 (2018). Reviewer: Dingxin Zhang (Beijing) MSC: 14F10 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Massey, David B. A note on kernels, images, and cokernels in the perverse category. (English) Zbl 1408.32010 Proc. Am. Math. Soc. 146, No. 1, 137-144 (2018). Reviewer: Daniel Barlet (Vandœuvre-les-Nancy) MSC: 32C18 32B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Positselski, Leonid Koszulity of cohomology \( = K(\pi,1)\)-Ness + quasi-formality. (English) Zbl 1454.16034 J. Algebra 483, 188-229 (2017). MSC: 16S37 12G05 14C15 18G90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choudhury, Utsav; Gallauer Alves de Souza, Martin An isomorphism of motivic Galois groups. (English) Zbl 1365.14028 Adv. Math. 313, 470-536 (2017). Reviewer: Tom Bachmann (Essen) MSC: 14F42 14F25 18G55 14C15 19E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stanley, Donald; van Roosmalen, Adam-Christiaan Derived equivalences for hereditary Artin algebras. (English) Zbl 1378.16006 Adv. Math. 303, 415-463 (2016). MSC: 16E35 16E60 16G10 18E30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ivorra, Florian Perverse, Hodge and motivic realizations of étale motives. (English) Zbl 1357.14027 Compos. Math. 152, No. 6, 1237-1285 (2016). Reviewer: Claudio Pedrini (Genova) MSC: 14F42 14F43 18G55 × Cite Format Result Cite Review PDF Full Text: DOI
Ivorra, Florian Mixed Hodge complexes and higher extensions of mixed Hodge modules on algebraic varieties. (English) Zbl 1346.14030 Rend. Semin. Mat. Univ. Padova 133, 11-77 (2015). Reviewer: Claudio Pedrini (Genova) MSC: 14D07 14F10 14F40 14F42 × Cite Format Result Cite Review PDF Full Text: DOI
Ivorra, Florian Mixed Hodge complexes on algebraic varieties and \(t\)-structures. (English) Zbl 1348.14046 J. Algebra 433, 107-167 (2015). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14F05 46M20 14D07 14F40 14F42 × Cite Format Result Cite Review PDF Full Text: DOI
Achar, Pramod N.; Riche, Simon Constructible sheaves on affine Grassmannians and geometry of the dual nilpotent cone. (English) Zbl 1329.14092 Isr. J. Math. 205, 247-315 (2015). Reviewer: Vladimir L. Popov (Moskva) MSC: 14L17 20G99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Weidner, Jan Grassmannians and Koszul duality. (English) Zbl 1350.14019 Math. Z. 278, No. 3-4, 1033-1064 (2014). MSC: 14F05 14M15 16S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achar, Pramod N.; Riche, Simon Koszul duality and semisimplicity of Frobenius. (Dualité de Koszul et semi-simplicité du Frobenius.) (English. French summary) Zbl 1348.14041 Ann. Inst. Fourier 63, No. 4, 1511-1612 (2013). Reviewer: Pawel Sosna (Hamburg) (MR3137361) MSC: 14F05 14M15 16S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maxim, Laurentiu; Saito, Morihiko; Schürmann, Jörg Symmetric products of mixed Hodge modules. (English. French summary) Zbl 1238.32021 J. Math. Pures Appl. (9) 96, No. 5, 462-483 (2011). Reviewer: Alexandru Dimca (Nice) MSC: 32S35 14D07 57S17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
De Cataldo, Mark Andrea A.; Migliorini, Luca The perverse filtration and the Lefschetz hyperplane theorem. (English) Zbl 1213.14017 Ann. Math. (2) 171, No. 3, 2089-2113 (2010). Reviewer: Xi Chen (Edmonton) MSC: 14C30 14D07 14Gxx 14Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Wildeshaus, Jörg \(f\)-categories, towers, and Tate motives. (\(f\)-catégories, tours et motifs de Tate.) (French. Abridged English version) Zbl 1209.18012 C. R., Math., Acad. Sci. Paris 347, No. 23-24, 1337-1342 (2009); erratum ibid. 350, No. 3-4, 129-131 (2012). MSC: 18E30 14F05 14F42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minamoto, Hiroyuki A noncommutative version of Beilinson’s theorem. (English) Zbl 1165.14009 J. Algebra 320, No. 1, 238-252 (2008). Reviewer: Helge Maakestad (Grenoble) MSC: 14A22 16G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joshua, Roy Bredon-style homology, cohomology and Riemann-Roch for algebraic stacks. (English) Zbl 1117.14020 Adv. Math. 209, No. 1, 1-68 (2007). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F05 19L10 × Cite Format Result Cite Review PDF Full Text: DOI
Saito, Morihiko Filtrations on Chow groups and transcendence degree. (English) Zbl 1073.14017 Publ. Res. Inst. Math. Sci. 40, No. 3, 933-948 (2004). Reviewer: Min Ho Lee (Cedar Falls) MSC: 14C30 14C15 14F43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burgos, José I.; Wildeshaus, Jörg Hodge modules on Shimura varieties and their higher direct images in the Baily–Borel compactification. (English) Zbl 1073.14036 Ann. Sci. Éc. Norm. Supér. (4) 37, No. 3, 363-413 (2004). Reviewer: Chia-Fu Yu (Taipei) MSC: 14G35 11G15 14D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
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 × Cite Format Result Cite Review PDF Full Text: EuDML
Joshua, Roy Derived functors for maps of simplicial spaces. (English) Zbl 1071.14508 J. Pure Appl. Algebra 171, No. 2-3, 219-248 (2002). MSC: 14F43 14F20 18G30 × Cite Format Result Cite Review PDF Full Text: DOI
Getzler, E. Resolving mixed Hodge modules on configuration spaces. (English) Zbl 0986.14005 Duke Math. J. 96, No. 1, 175-203 (1999). Reviewer: Fumio Hazama (Hatoyama) MSC: 14D07 14H10 11F12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saito, Morihiko On the injectivity of cycle maps. (English) Zbl 0826.14007 Publ. Res. Inst. Math. Sci. 28, No. 1, 99-127 (1992). Reviewer: L.Barbieri-Viale (Genova) MSC: 14C30 14C25 14C05 × Cite Format Result Cite Review PDF Full Text: DOI
Saito, Morihiko Mixed Hodge modules. (English) Zbl 0727.14004 Publ. Res. Inst. Math. Sci. 26, No. 2, 221-333 (1990). Reviewer: F.L.Zak (Moskva) MSC: 14D07 14F43 32J27 14C30 14F10 55N33 × Cite Format Result Cite Review PDF Full Text: DOI
Saito, Morihiko Extension of mixed Hodge Modules. (English) Zbl 0726.14007 Compos. Math. 74, No. 2, 209-234 (1990). Reviewer: V.L.Popov (Moskva) MSC: 14C30 18E30 14D07 14F10 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Durfee, Alan H.; Saito, Morihiko Mixed Hodge structures on the intersection cohomology of links. (English) Zbl 0724.14011 Compos. Math. 76, No. 1-2, 49-67 (1990). Reviewer: J.H.de Boer (Nijmegen) MSC: 14F43 14C30 14B05 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Beilinson, A. A.; Ginsburg, V. A.; Shekhtman, V. V. Koszul duality. (English) Zbl 0695.14009 J. Geom. Phys. 5, No. 3, 317-350 (1988). Reviewer: L.Bădescu MSC: 14F05 13D25 × Cite Format Result Cite Review PDF Full Text: DOI
Kazhdan, D.; Laumon, G. Gluing of perverse sheaves and discrete series representation. (English) Zbl 0693.14008 J. Geom. Phys. 5, No. 1, 63-120 (1988). Reviewer: A.Dimca MSC: 14F30 20G05 20G40 × Cite Format Result Cite Review PDF Full Text: DOI
Saito, Morihiko On the derived categories of mixed Hodge modules. (English) Zbl 0635.14009 Proc. Japan Acad., Ser. A 62, 364-366 (1986). Reviewer: A.Papantonopoulou MSC: 14C30 18F99 18E99 × Cite Format Result Cite Review PDF Full Text: DOI