Scholze, Peter Geometrization of the local Langlands correspondence, motivically. arXiv:2501.07944 Preprint, arXiv:2501.07944 [math.AG] (2025). MSC: 14F42 14F20 14G22 14G45 11S37 14D24 22E57 11F77 11F85 × Cite Format Result Cite Full Text: arXiv OA License
Betts, L. Alexander The motivic anabelian geometry of local heights on abelian varieties. (English) Zbl 07946548 Memoirs of the American Mathematical Society 1518. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7124-8/pbk; 978-1-4704-7969-5/ebook). v, 88 p. (2024). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11-02 11G50 11G10 11G25 14G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tian, Yi Chao Cohomology of prismatic crystals. (Chinese. English summary) Zbl 07938035 Acta Math. Sin., Chin. Ser. 67, No. 2, 357-376 (2024). MSC: 14F30 14F20 14F43 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Tong; Moon, Yong Suk; Patel, Deepam Relative Fontaine-Messing theory over power series rings. (English) Zbl 07931118 Int. Math. Res. Not. 2024, No. 5, 4384-4455 (2024). MSC: 14F30 13F25 11F80 11F85 14F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tang, Longke Syntomic cycle classes and prismatic Poincaré duality. (English) Zbl 07930324 Compos. Math. 160, No. 10, 2322-2365 (2024). MSC: 14F20 14F30 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sakagaito, Makoto On étale hypercohomology of henselian regular local rings with values in \(p\)-adic étale Tate twists. (English) Zbl 07928739 Homology Homotopy Appl. 26, No. 2, 21-48 (2024). MSC: 14F20 14F30 14F42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cotner, Sean; Zavyalov, Bogdan Lefschetz theorems in flat cohomology and applications. (English) Zbl 07922969 Compos. Math. 160, No. 8, 1850-1870 (2024). MSC: 14F20 14F30 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abbes, Ahmed; Gros, Michel The Hodge-Tate spectral sequences. (Les suites spectrales de Hodge-Tate.) (French. English summary) Zbl 07882596 Astérisque 448. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-988-3/pbk). xii, 465 p. (2024). MSC: 14-02 11-02 14F05 14F20 14F30 14F35 14G20 11G25 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suzuki, Takashi Class field theory, Hasse principles and Picard-Brauer duality for two-dimensional local rings. (English) Zbl 07874957 Algebr. Geom. 11, No. 4, 460-505 (2024). MSC: 11G45 14F20 19F05 11S25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
González, Javier Sánchez Finiteness of cohomology for pro-locally proper maps. (English) Zbl 07861942 Mediterr. J. Math. 21, No. 3, Paper No. 102, 22 p. (2024). MSC: 14A20 14F30 14A15 55N30 14B25 13F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Kimihiko Prismatic and \(q\)-crystalline sites of higher level. (English) Zbl 07828279 Rend. Semin. Mat. Univ. Padova 151, 137-200 (2024). MSC: 14F20 14F30 × 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
Česnavičius, Kęstutis; Scholze, Peter Purity for flat cohomology. (English) Zbl 1528.14024 Ann. Math. (2) 199, No. 1, 51-180 (2024). Reviewer: Takahiro Tsushima (Chiba) MSC: 14F20 14F22 14F30 14H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suzuki, Takashi Arithmetic duality for two-dimensional local rings with perfect residue field. (English) Zbl 1537.11098 J. Pure Appl. Algebra 228, No. 1, Article ID 107465, 112 p. (2024). MSC: 11G45 14F20 14F30 19F05 13B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suh, Junecue Symmetry and parity in Frobenius action on cohomology. arXiv:2410.01184 Preprint, arXiv:2410.01184 [math.AG] (2024). MSC: 11G25 14F20 14F30 × Cite Format Result Cite Full Text: arXiv
Abhinandan Prismatic \(F\)-crystals and Wach modules. arXiv:2405.18245 Preprint, arXiv:2405.18245 [math.NT] (2024). MSC: 14F20 14F30 14F40 × Cite Format Result Cite Full Text: arXiv OA License
Li, Kimihiko \(q\)-de Rham complexes of higher level. arXiv:2401.02057 Preprint, arXiv:2401.02057 [math.AG] (2024). MSC: 14F30 14F20 × Cite Format Result Cite Full Text: arXiv OA License
Betts, L. Alexander; Litt, Daniel Semisimplicity of the Frobenius action on \(\pi_1\). (English) Zbl 07912264 Bhatt, Bhargav (ed.) et al., \(p\)-adic Hodge theory, singular varieties, and non-abelian aspects. Proceedings of the Simons symposium 2019. Cham: Springer. Simons Symp., 17-64 (2023). MSC: 11G25 14F30 14F35 14C30 14D07 14G20 × Cite Format Result Cite Review PDF Full Text: DOI
Esnault, Hélène Local systems in algebraic-arithmetic geometry. (English) Zbl 1542.14001 Lecture Notes in Mathematics 2337. Cham: Springer (ISBN 978-3-031-40839-7/pbk; 978-3-031-40840-3/ebook). vii, 94 p. (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14-02 14Fxx 14F20 14F30 14D05 × Cite Format Result Cite Review PDF Full Text: DOI
Asakura, Masanori New \(p\)-adic hypergeometric functions and syntomic regulators. (English. French summary) Zbl 1543.14015 J. Théor. Nombres Bordx. 35, No. 2, 393-451 (2023). Reviewer: Riccardo Pengo (Hannover) MSC: 14F30 19F27 11S80 19F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cadoret, Anna Degeneration locus of \(\mathbb{Q}_p\)-local systems: conjectures. (English) Zbl 1540.14054 Expo. Math. 41, No. 3, 675-708 (2023). MSC: 14G05 14C25 14D07 14E20 14E22 14F20 14F30 14F35 × Cite Format Result Cite Review PDF Full Text: DOI
Lan, Kai-Wen; Liu, Ruochuan; Zhu, Xinwen De Rham comparison and Poincaré duality for rigid varieties. (English) Zbl 1533.14017 Peking Math. J. 6, No. 1, 143-216 (2023). Reviewer: Dingxin Zhang (Beijing) MSC: 14F40 14G22 14D07 14F30 14G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mathew, Akhil The mod-\(p\) Riemann-Hilbert correspondence and the perfect site. (English) Zbl 1515.14030 Tunis. J. Math. 5, No. 2, 369-403 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F08 14F10 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława Factorisation of étale \(p\)-adic cohomology of the Drinfeld tower. (Factorisation de la cohomologie étale \(p\)-adique de la tour de Drinfeld.) (French. English summary) Zbl 1525.14025 Forum Math. Pi 11, Paper No. e16, 62 p. (2023). MSC: 14F20 14G22 14F30 14G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Haoyang Hodge-Tate decomposition for non-smooth spaces. (English) Zbl 1523.14049 J. Eur. Math. Soc. (JEMS) 25, No. 4, 1553-1625 (2023). MSC: 14G22 14C30 14G20 14E15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gilles, Sally Period morphisms and syntomic cohomology. (Morphismes de périodes et cohomologie syntomique.) (French. English summary) Zbl 1523.14041 Algebra Number Theory 17, No. 3, 603-666 (2023). MSC: 14F20 14F30 11S25 14F40 14G22 × Cite Format Result Cite Review PDF Full Text: DOI
Emerton, Matthew; Gee, Toby Moduli stacks of étale \((\Phi, \Gamma)\)-modules and the existence of crystalline lifts. (English) Zbl 1529.11003 Annals of Mathematics Studies 215. Princeton, NJ: Princeton University Press (ISBN 978-0-691-24134-0/hbk; 978-0-691-24135-7/pbk; 978-0-691-24136-4/ebook). ix, 298 p. (2023). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11-02 14-02 11Gxx 11Fxx 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abhinandan Crystalline representations and Wach modules in the relative case II. arXiv:2309.16446 Preprint, arXiv:2309.16446 [math.NT] (2023). MSC: 14F20 14F30 14F40 11S23 × Cite Format Result Cite Full Text: arXiv OA License
Abhinandan Crystalline representations and Wach modules in the imperfect residue field case. arXiv:2308.11191 Preprint, arXiv:2308.11191 [math.NT] (2023). MSC: 14F20 14F30 14F40 11S23 × Cite Format Result Cite Full Text: arXiv OA License
Abhinandan Syntomic complex and \(p\)-adic nearby cycles. arXiv:2308.10736 Preprint, arXiv:2308.10736 [math.NT] (2023). MSC: 14F20 14F30 14F40 11S25 × Cite Format Result Cite Full Text: arXiv OA License
Koshikawa, Teruhisa; Yao, Zijian Logarithmic prismatic cohomology II. arXiv:2306.00364 Preprint, arXiv:2306.00364 [math.AG] (2023). MSC: 14F30 14A21 14F40 14F20 14D10 14G20 × Cite Format Result Cite Full Text: arXiv OA License
Holeman, Adam Derived \(\delta\)-Rings and Relative Prismatic Cohomology. arXiv:2303.17447 Preprint, arXiv:2303.17447 [math.AG] (2023). MSC: 14F20 14F30 14F40 × Cite Format Result Cite Full Text: arXiv
Kedlaya, Kiran S. Étale and crystalline companions. I. (English) Zbl 1512.14012 Épijournal de Géom. Algébr., EPIGA 6, Article 20, 30 p. (2022). MSC: 14F30 14F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhatt, Bhargav; Scholze, Peter Prisms and prismatic cohomology. (English) Zbl 07611906 Ann. Math. (2) 196, No. 3, 1135-1275 (2022). Reviewer: Linquan Ma (West Lafayette) MSC: 14F20 14F30 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bannai, Kenichi; Hagihara, Kei; Yamada, Kazuki; Yamamoto, Shuji \(p\)-adic polylogarithms and \(p\)-adic Hecke \(L\)-functions for totally real fields. (English) Zbl 1507.11108 J. Reine Angew. Math. 791, 53-87 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11S40 11R42 19F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caro, Daniel; Vauclair, David Logarithmic \(p\)-bases and arithmetical differential modules. (\(p\)-bases logarithmiques et modules différentiels arithmétiques.) (English. French summary) Zbl 1508.14018 Ann. Inst. Fourier 72, No. 3, 1011-1096 (2022). MSC: 14F30 14A21 14F10 14B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława Cohomology of analytical \(p\)-adic curves. (Cohomologie des courbes analytiques \(p\)-adiques.) (English) Zbl 1524.14049 Camb. J. Math. 10, No. 3, 511-655 (2022). Reviewer: Dingxin Zhang (Beijing) MSC: 14Fxx 14Hxx 14F20 14F30 14G22 14H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Illusie, Luc Generic constructibility and uniformity in \(\ell\). (Constructibilité générique et uniformité en \(\ell\).) (French. English summary) Zbl 1506.11083 Tunis. J. Math. 4, No. 1, 159-181 (2022). Reviewer: Cenap Özel (Jeddah) MSC: 11F80 14F08 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Greither, Cornelius; Popescu, Cristian Picard 1-motives and Tate sequences for function fields. (English. French summary) Zbl 1486.11111 J. Théor. Nombres Bordx. 33, No. 3, Part 1, 835-852 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11M38 11G20 11G25 11G45 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Yifei \(p\)-torsion étale sheaves on the Jacobian of a curve. (English) Zbl 1483.14037 J. Algebra 592, 64-99 (2022). Reviewer: Daxin Xu (Beijing) MSC: 14F30 14F10 11F33 11G09 14D20 14D24 14H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cadoret, Anna Ultraproduct coefficients in étale cohomology – a survey. (English) Zbl 1480.14016 J. Number Theory 230, 64-88 (2022). Reviewer: Yigeng Zhao (Hangzhou) MSC: 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Besser, Amnon The syntomic regulator for \(K_2\) of curves with arbitrary reduction. (English) Zbl 1476.19003 Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 75-89 (2021). MSC: 19F27 11S80 11G20 × Cite Format Result Cite Review PDF Full Text: DOI
Orlik, Sascha The pro-étale cohomology of Drinfeld’s upper half space. (English) Zbl 1481.14037 Doc. Math. 26, 1395-1421 (2021). MSC: 14F20 14G20 11F85 14F30 22E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colmez, Pierre; Dospinescu, Gabriel; Hauseux, Julien; Nizioł, Wiesława \(p\)-adic étale cohomology of period domains. (English) Zbl 1489.14028 Math. Ann. 381, No. 1-2, 105-180 (2021). Reviewer: Elmar Große-Klönne (Berlin) MSC: 14F20 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rivero, Óscar; Rotger, Victor Derived Beilinson-Flach elements and the arithmetic of the adjoint of a modular form. (English) Zbl 1485.11092 J. Eur. Math. Soc. (JEMS) 23, No. 7, 2299-2335 (2021). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11F85 11G18 19F27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fontaine, Jean-Marc; Jannsen, Uwe Frobenius gauges and a new theory of \(p\)-torsion sheaves in characteristic \(p\). (English) Zbl 1469.14041 Doc. Math. 26, 65-101 (2021). Reviewer: Javier Majadas (Santiago de Compostela) MSC: 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ertl, Veronika; Shiho, Atsushi; Sprang, Johannes Integral p-adic cohomology theories for open and singular varieties. arXiv:2105.11009 Preprint, arXiv:2105.11009 [math.NT] (2021). MSC: 14F30 14E15 14F20 18F10 × Cite Format Result Cite Full Text: arXiv OA License
Cadoret, Anna The companions conjecture [after Deligne, Drinfeld, L. Lafforgue, T. Abe, …]. (La conjecture des compagnons [d’aprés Deligne, Drinfeld, L. Lafforgue, T. Abe, …].) (French) Zbl 1466.14023 Séminaire Bourbaki. Volume 2018/2019, Exposés 1151–1165. Avec table par noms d’auteurs de 1948 à 2018/19. Paris: Société Mathématique de France (SMF). Astérisque 422, 173-223, Exp. No. 1155 (2020). MSC: 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Hatada, Kazuyuki Hecke operators and systems of eigenvalues on Siegel cusp forms. (English) Zbl 1521.11004 Memoirs of the American Mathematical Society 1306. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4334-4/pbk; 978-1-4704-6343-4/ebook). v, 165 p. (2020). Reviewer: Suresh Nampuri (Lisboa) MSC: 11-02 11F46 11F60 11F32 11F11 11G25 14G22 14F30 14F20 11F70 × Cite Format Result Cite Review PDF Full Text: DOI
van Dobben de Bruyn, Remy The equivalence of several conjectures on independence of \(\ell\). (English) Zbl 1460.14053 Épijournal de Géom. Algébr., EPIGA 4, Article 16, 27 p. (2020). MSC: 14F20 14F30 14C15 14G15 × Cite Format Result Cite Review PDF Full Text: arXiv Backlinks: MO MO
Braunling, Oliver Frobenius line invariance of algebraic \(K\)-theory. (English) Zbl 1466.19004 Trans. Am. Math. Soc. 373, No. 11, 8197-8217 (2020). Reviewer: Piotr Krasoń (Szczecin) MSC: 19F27 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Tsuji, Takeshi Crystalline \(\mathbb{Z}_p\)-representations and \(A_{\inf}\)-representations with Frobenius. (English) Zbl 1440.14118 Bhatt, Bhargav (ed.) et al., \(p\)-adic Hodge theory. Proceedings of the Simons symposium, Schloss Elmau, Germany, May 7–13, 2017. Cham: Springer. Simons Symp., 161-319 (2020). MSC: 14F30 14F20 14F40 13A35 × Cite Format Result Cite Review PDF Full Text: DOI
Burns, David On the Galois structure of arithmetic cohomology. I: Compactly supported \(p\)-adic cohomology. (English) Zbl 1459.11217 Nagoya Math. J. 239, 294-321 (2020). Reviewer: Piotr Krasoń (Szczecin) MSC: 11R34 11R23 20C11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kolster, Manfred; Taleb, Reza The \(p\)-adic Coates-Sinnott conjecture over maximal orders. (English) Zbl 1471.11268 Int. J. Number Theory 16, No. 6, 1227-1246 (2020). Reviewer: Kevin Hutchinson (Dublin) MSC: 11R23 11R42 14F42 19F27 11R70 × Cite Format Result Cite Review PDF Full Text: DOI
Banerjee, Kalyan; Guletskiĭ, Vladimir Étale monodromy and rational equivalence for 1-cycles on cubic hypersurfaces in \(\mathbb{P}^5\). (English. Russian original) Zbl 1448.14011 Sb. Math. 211, No. 2, 161-200 (2020); translation from Mat. Sb. 211, No. 2, 3-45 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14C25 14D05 14F30 14J30 14J35 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława \(p\)-adic cohomology of the Drinfeld tower: the 1-dimensional case. (Cohomologie \(p\)-adique de la tour de Drinfeld: Le cas de la dimension 1.) (French. English summary) Zbl 1451.11029 J. Am. Math. Soc. 33, No. 2, 311-362 (2020). Reviewer: Lekbir Chakri (Rabat) MSC: 11E95 11F80 11F85 14F30 14G35 14H99 20G25 22E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cais, Bryden; Liu, Tong Corrigendum to “Breuil-Kisin modules via crystalline cohomology”. (English) Zbl 1431.14013 Trans. Am. Math. Soc. 373, No. 3, 2251-2252 (2020). MSC: 14F30 11F80 11G25 14F20 14G20 14G22 × Cite Format Result Cite Review PDF Full Text: DOI
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława Cohomology of \(p\)-adic Stein spaces. (English) Zbl 1475.11110 Invent. Math. 219, No. 3, 873-985 (2020). Reviewer: Dingxin Zhang (Beijing) MSC: 11F85 14F20 14F30 20G25 22Fxx 14G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saito, Shuji; Sato, Kanetomo On \(p\)-adic vanishing cycles of log smooth families. (English) Zbl 1423.14137 Tunis. J. Math. 2, No. 2, 309-335 (2020). MSC: 14F20 11G45 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brinon, Olivier; Andreatta, Fabrizio; Brasca, Riccardo; Chiarellotto, Bruno; Mazzari, Nicola; Panozzo, Simone; Seveso, Marco An introduction to perfectoid spaces. (English) Zbl 1443.14022 Andreatta, Fabrizio et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF). Panor. Synth. 54, 207-265 (2019). MSC: 14F20 14F30 14G20 14G22 32P05 14G45 14-01 × Cite Format Result Cite Review PDF
Yamashita, Go An introduction to \(p\)-adic Hodge theory for open varieties via syntomic cohomology. (English) Zbl 1443.14024 Andreatta, Fabrizio et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF). Panor. Synth. 54, 131-157 (2019). MSC: 14F30 14F20 14A21 14F43 14F40 14C30 14-02 × Cite Format Result Cite Review PDF
Brinon, Olivier Filtered \((\varphi,N)\)-modules and semi-stable representations. (English) Zbl 1443.14021 Andreatta, Fabrizio et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF). Panor. Synth. 54, 93-129 (2019). MSC: 14F20 11G25 14F30 14F40 14-01 14G20 × Cite Format Result Cite Review PDF
Freixas i Montplet, Gerard An introduction to Hodge-Tate decompositions. (English) Zbl 1443.14023 Andreatta, Fabrizio et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF). Panor. Synth. 54, 1-17 (2019). MSC: 14F20 14F30 11G10 11G25 14-01 14F40 × Cite Format Result Cite Review PDF
Thuong, Lê Quy A proof of the \(\ell \)-adic version of the integral identity conjecture for polynomials. (Une preuve de la version \(\ell\)-adique de la conjecture de l’identité intégrale pour des polynômes.) (English. French summary) Zbl 1441.14070 Bull. Soc. Math. Fr. 147, No. 3, 355-375 (2019). MSC: 14F20 14G22 14B25 14F30 14N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kato, Kazuya; Suzuki, Takashi Duality theories for \(p\)-primary étale cohomology. III. (English) Zbl 1441.14074 J. Math. Sci., Tokyo 26, No. 2, 223-248 (2019). MSC: 14F30 14F20 11G25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Chiarellotto, Bruno; Lazda, Christopher; Liedtke, Christian A Néron-Ogg-Shafarevich criterion for \(K3\) surfaces. (English) Zbl 1427.14075 Proc. Lond. Math. Soc. (3) 119, No. 2, 469-514 (2019). Reviewer: Noriko Yui (Kingston) MSC: 14J28 11G25 14F20 14F30 14G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Česnavičius, Kęstutis; Koshikawa, Teruhisa The \(A_{\text{inf}}\)-cohomology in the semistable case. (English) Zbl 1451.14077 Compos. Math. 155, No. 11, 2039-2128 (2019). Reviewer: Alexander Petrov (Cambridge) MSC: 14G20 14G22 14F20 14F30 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ertl, Veronika; Nizioł, Wiesława Syntomic cohomology and \(p\)-adic motivic cohomology. (English) Zbl 1422.14030 Algebr. Geom. 6, No. 1, 100-131 (2019). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 14F20 11G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cais, Bryden; Liu, Tong Breuil-Kisin modules via crystalline cohomology. (English) Zbl 1439.14072 Trans. Am. Math. Soc. 371, No. 2, 1199-1230 (2019); correction ibid. 373, No. 3, 2251-2252 (2020). MSC: 14F30 11F80 11G25 14F20 14G20 14G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Szamuely, Tamás; Zábrádi, Gergely The \(p\)-adic Hodge decomposition according to Beilinson. (English) Zbl 1451.14079 de Fernex, Tommaso (ed.) et al., Algebraic geometry: Salt Lake City 2015. 2015 summer research institute in algebraic geometry, University of Utah, Salt Lake City, UT, USA, July 13–31, 2015. Proceedings. Part 2. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute. Proc. Symp. Pure Math. 97, 2, 495-572 (2018). MSC: 14G20 14F30 14F20 14F40 14C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Spitzweck, Markus A commutative \({\mathbb P}^1\)-spectrum representing motivic cohomology over Dedekind domains. (English) Zbl 1408.14081 Mém. Soc. Math. Fr., Nouv. Sér. 157, 1-110 (2018). Reviewer: Fangzhou Jin (Essen) MSC: 14F42 14C25 19E20 14F05 14F20 14F30 55P43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ohkawa, Sachio Riemann-Hilbert correspondence for unit \(F\)-crystals on embeddable algebraic varieties. (La correspondance de Riemann-Hilbert pour les \(F\)-cristaux unités sur une variété algébrique plongeable.) (English. French summary) Zbl 1410.14018 Ann. Inst. Fourier 68, No. 3, 1077-1120 (2018). Reviewer: Dingxin Zhang (Cambridge, MA) MSC: 14F30 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krishna, Amalendu Torsion in the 0-cycle group with modulus. (English) Zbl 1409.14018 Algebra Number Theory 12, No. 6, 1431-1469 (2018). Reviewer: Piotr Krasoń (Szczecin) MSC: 14C25 13F35 14F30 19F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rojas-León, Antonio Explicit local multiplicative convolution of \(\ell\)-adic sheaves. (English) Zbl 1422.14029 Rev. Mat. Iberoam. 34, No. 3, 1373-1386 (2018). Reviewer: Yigeng Zhao (Hangzhou) MSC: 14F20 11F85 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Yongquan; Wang, Haoran Multiplicity one for the \(\mathrm {mod} p\) cohomology of Shimura curves: the tame case. (English) Zbl 1454.11106 Math. Res. Lett. 25, No. 3, 843-873 (2018). MSC: 11F80 11F33 11G18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burungale, Ashay; Hida, Haruzo \(\mathfrak p\)-rigidity and Iwasawa \(\mu\)-invariants. (English) Zbl 1405.11083 Algebra Number Theory 11, No. 8, 1921-1951 (2017). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 11G18 19F27 11R23 × Cite Format Result Cite Review PDF Full Text: DOI
Burungale, Ashay A. On the non-triviality of the \(p\)-adic Abel-Jacobi image of generalised Heegner cycles modulo \(p\). II: Shimura-curves. (English) Zbl 1365.19003 J. Inst. Math. Jussieu 16, No. 1, 189-222 (2017). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 19F27 11G18 11R23 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Colmez, Pierre; Nizioł, Wiesława Syntomic complexes and \(p\)-adic nearby cycles. (English) Zbl 1395.14013 Invent. Math. 208, No. 1, 1-108 (2017). Reviewer: Liang Xiao (Storrs) MSC: 14F42 14F20 11G25 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wu, Yi-Tao On the \(p\)-adic local invariant cycle theorem. (English) Zbl 1493.14027 Math. Z. 285, No. 3-4, 1125-1139 (2017). MSC: 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sakugawa, Kenji On a non-abelian generalization of the Bloch-Kato exponential map. (English) Zbl 1432.11166 Math. J. Okayama Univ. 59, 41-70 (2017). MSC: 11R34 14C30 14F30 19F27 × Cite Format Result Cite Review PDF Full Text: Link
Scholze, Peter Corrigendum: “\(p\)-adic Hodge theory for rigid-analytic varieties”. (English) Zbl 1405.14049 Forum Math. Pi 4, Paper No. e6, 4 p. (2016). MSC: 14F30 14G22 14F20 14G20 × Cite Format Result Cite Review PDF Full Text: DOI
Umezaki, Naoya A uniform bound for the order of monodromy. (English) Zbl 1402.11085 Math. Res. Lett. 23, No. 3, 929-937 (2016). MSC: 11F80 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Besser, Amnon On the regulator formulas of Bertolini, Darmon and Rotger. (English) Zbl 1416.11109 Res. Math. Sci. 3, Paper No. 26, 18 p. (2016). MSC: 11G40 19F27 11G35 11F85 × Cite Format Result Cite Review PDF Full Text: DOI
Dasgupta, Samit Factorization of \(p\)-adic Rankin \(L\)-series. (English) Zbl 1361.11076 Invent. Math. 205, No. 1, 221-268 (2016). Reviewer: Matteo Longo (Padova) MSC: 11S40 11F66 19F27 × Cite Format Result Cite Review PDF Full Text: DOI
Chan, Charlotte Deligne-Lusztig constructions for division algebras and the local Langlands correspondence. (English) Zbl 1337.22008 Adv. Math. 294, 332-383 (2016). Reviewer: Wen-Wei Li (Beijing) MSC: 22E50 11S37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abbes, Ahmed; Gros, Michel; Tsuji, Takeshi The \(p\)-adic Simpson correspondence. (English) Zbl 1342.14045 Annals of Mathematics Studies 193. Princeton, NJ: Princeton University Press (ISBN 978-0-691-17029-9/pbk; 978-0-691-17028-2/hbk; 978-1-400-88123-9/ebook). xi, 603 p. (2016). Reviewer: Gerd Faltings (Bonn) MSC: 14F30 14G20 11S25 11S23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv arXiv arXiv Backlinks: MO
Uzun, Mecit Kerem Motivic homology and class field theory over \(p\)-adic fields. (English) Zbl 1396.14022 J. Number Theory 160, 566-585 (2016). MSC: 14F42 11S31 14G20 19E15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jonathan A new Fourier transform. (English) Zbl 1349.11097 Math. Res. Lett. 22, No. 5, 1541-1562 (2015). MSC: 11G09 11G45 11R39 11R58 14D20 14F20 14F05 14F30 43A32 14G20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Jeu, Rob; Navilarekallu, Tejaswi Étale cohomology, cofinite generation, and \(p\)-adic \(L\)-functions. (Cohomologie étale, engendrement cofini, et fonctions \(L\) \(p\)-adiques.) (English. French summary) Zbl 1376.11055 Ann. Inst. Fourier 65, No. 6, 2331-2383 (2015). Reviewer: Lawrence C. Washington (College Park) MSC: 11G40 14F20 11M41 11S40 14G10 19F27 11R23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Achinger, Piotr \(K(\pi,1)\)-neighborhoods and comparison theorems. (English) Zbl 1348.14055 Compos. Math. 151, No. 10, 1945-1964 (2015). MSC: 14F20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Illusie, Luc Around the Poincaré lemma, after Beilinson. (English) Zbl 1331.14025 Acta Math. Vietnam. 40, No. 2, 231-253 (2015). Reviewer: Jesús Conde-Lago (Santiago de Compostela) MSC: 14F30 14F40 14F20 11G25 14K30 18G30 18G55 × Cite Format Result Cite Review PDF Full Text: DOI
Kedlaya, Kiran S.; Liu, Ruochuan Relative \(p\)-adic Hodge theory: foundations. (English) Zbl 1370.14025 Astérisque 371. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-807-7/pbk). 239 p. (2015). Reviewer: Laurent Berger (Lyon) MSC: 14G22 11S15 13J07 13F35 14C30 14F30 × Cite Format Result Cite Review PDF Full Text: arXiv
Pépin, Cédric Duality over a local field of positive characteristic with algebraically closed residue field. (Dualité sur un corps local de caractéristique positive à corps résiduel algébriquement clos.) (French. English summary) Zbl 1326.14049 C. R., Math., Acad. Sci. Paris 353, No. 7, 573-577 (2015). MSC: 14F20 14L15 14F22 11S31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertolini, Massimo; Darmon, Henri; Rotger, Victor Beilinson-Flach elements and Euler systems. I: Syntomic regulators and \(p\)-adic Rankin \(L\)-series. (English) Zbl 1325.14034 J. Algebr. Geom. 24, No. 2, 355-378 (2015). Reviewer: Kazuki Yamada (Tokyo) MSC: 14F30 11R42 19F27 11G40 × Cite Format Result Cite Review PDF Full Text: DOI
Zureick-Brown, David Cohomological descent on the overconvergent site. (English) Zbl 1349.14073 Res. Math. Sci. 1, Paper No. 8, 20 p. (2014). MSC: 14F30 14F05 14F20 14G22 18G30 18G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borne, Niels; Emsalem, Michel A criterion of cuspidalization of \(\ell\)-adic sections. (Un critère d’épointage des sections \(\ell\)-adiques.) (French. English summary) Zbl 1327.14103 Bull. Soc. Math. Fr. 142, No. 3, 465-487 (2014). MSC: 14F30 14G32 14H30 14F20 14G05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Tamme, Georg Karoubi’s relative Chern character, the rigid syntomic regulator, and the Bloch-Kato exponential map. (English) Zbl 1316.19005 Forum Math. Sigma 2, Paper No. e20, 39 p. (2014). Reviewer: Piotr Krasoń (Szczecin) MSC: 19F27 14F43 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhatt, Bhargav On the non-existence of small Cohen-Macaulay algebras. (English) Zbl 1317.13022 J. Algebra 411, 1-11 (2014). Reviewer: S. H. Hassanzadeh (Rio de Janeiro) MSC: 13C14 14B25 13F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roulleau, Xavier On the Tate conjecture for the Fano surfaces of cubic threefolds. (English) Zbl 1285.14021 J. Number Theory 133, No. 7, 2320-2323 (2013). MSC: 14F20 14F30 14G10 14C25 14J45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv