Suzuki, Takashi Arithmetic duality for two-dimensional local rings with perfect residue field. (English) Zbl 07729163 J. Pure Appl. Algebra 228, No. 1, Article ID 107465, 112 p. (2024). MSC: 11G45 14F20 14F30 19F05 13B40 PDF BibTeX XML Cite \textit{T. Suzuki}, J. Pure Appl. Algebra 228, No. 1, Article ID 107465, 112 p. (2024; Zbl 07729163) Full Text: DOI arXiv
Fu, Lei; Li, Peigen; Wan, Daqing; Zhang, Hao \(p\)-adic GKZ hypergeometric complex. (English) Zbl 07758174 Math. Ann. 387, No. 3-4, 1629-1689 (2023). MSC: 14F30 11T23 14G15 33C70 PDF BibTeX XML Cite \textit{L. Fu} et al., Math. Ann. 387, No. 3--4, 1629--1689 (2023; Zbl 07758174) Full Text: DOI arXiv
Dan-Cohen, Ishai; Jarossay, David \(M_{0, 5}\): toward the Chabauty-Kim method in higher dimensions. (English) Zbl 07754836 Mathematika 69, No. 4, 1011-1059 (2023). MSC: 11G55 14F35 14G05 14F30 PDF BibTeX XML Cite \textit{I. Dan-Cohen} and \textit{D. Jarossay}, Mathematika 69, No. 4, 1011--1059 (2023; Zbl 07754836) Full Text: DOI arXiv OA License
Asakura, Masanori New \(p\)-adic hypergeometric functions and syntomic regulators. (English. French summary) Zbl 07750325 J. Théor. Nombres Bordx. 35, No. 2, 393-451 (2023). MSC: 14F30 19F27 11S80 19F15 PDF BibTeX XML Cite \textit{M. Asakura}, J. Théor. Nombres Bordx. 35, No. 2, 393--451 (2023; Zbl 07750325) Full Text: DOI arXiv
Bright, Martin; Newton, Rachel Evaluating the wild Brauer group. (English) Zbl 07748318 Invent. Math. 234, No. 2, 819-891 (2023). MSC: 14F22 14G12 14G20 14F30 PDF BibTeX XML Cite \textit{M. Bright} and \textit{R. Newton}, Invent. Math. 234, No. 2, 819--891 (2023; Zbl 07748318) Full Text: DOI arXiv OA License
Cadoret, Anna Degeneration locus of \(\mathbb{Q}_p\)-local systems: conjectures. (English) Zbl 07745042 Expo. Math. 41, No. 3, 675-708 (2023). MSC: 14E20 14E22 14F20 14F35 14G05 14C25 14D07 14F30 PDF BibTeX XML Cite \textit{A. Cadoret}, Expo. Math. 41, No. 3, 675--708 (2023; Zbl 07745042) Full Text: DOI
Ambrosi, Emiliano Perfect points of abelian varieties. (English) Zbl 07744971 Compos. Math. 159, No. 11, 2261-2278 (2023). MSC: 14K15 14F30 12F15 PDF BibTeX XML Cite \textit{E. Ambrosi}, Compos. Math. 159, No. 11, 2261--2278 (2023; Zbl 07744971) Full Text: DOI arXiv
Sulyma, Yuri J. F. Floor, ceiling, slopes, and \(K\)-theory. (English) Zbl 1520.14039 Ann. \(K\)-Theory 8, No. 3, 331-354 (2023). MSC: 14F30 19D55 19E15 PDF BibTeX XML Cite \textit{Y. J. F. Sulyma}, Ann. \(K\)-Theory 8, No. 3, 331--354 (2023; Zbl 1520.14039) Full Text: DOI arXiv
D’Addezio, Marco Parabolicity conjecture of \(F\)-isocrystals. (English) Zbl 07734888 Ann. Math. (2) 198, No. 2, 619-656 (2023). MSC: 14F30 18M25 PDF BibTeX XML Cite \textit{M. D'Addezio}, Ann. Math. (2) 198, No. 2, 619--656 (2023; Zbl 07734888) Full Text: DOI arXiv
Wang, Yupeng A \(p\)-adic Simpson correspondence for rigid analytic varieties. (English) Zbl 07734828 Algebra Number Theory 17, No. 8, 1453-1499 (2023). MSC: 14F30 14G22 PDF BibTeX XML Cite \textit{Y. Wang}, Algebra Number Theory 17, No. 8, 1453--1499 (2023; Zbl 07734828) Full Text: DOI arXiv
D’Addezio, Marco Slopes of \(F\)-isocrystals over abelian varieties. (English) Zbl 07732786 Doc. Math. 28, No. 1, 1-9 (2023). MSC: 14F30 11G10 14K05 PDF BibTeX XML Cite \textit{M. D'Addezio}, Doc. Math. 28, No. 1, 1--9 (2023; Zbl 07732786) Full Text: DOI arXiv
Lan, Kai-Wen; Liu, Ruochuan; Zhu, Xinwen De Rham comparison and Poincaré duality for rigid varieties. (English) Zbl 07729710 Peking Math. J. 6, No. 1, 143-216 (2023). MSC: 14F40 14G22 14D07 14F30 14G35 PDF BibTeX XML Cite \textit{K.-W. Lan} et al., Peking Math. J. 6, No. 1, 143--216 (2023; Zbl 07729710) Full Text: DOI arXiv
Suzuki, Takashi Finite generation of nilpotent quotients of fundamental groups of punctured spectra. (English) Zbl 07725301 J. Algebra 633, 489-509 (2023). MSC: 14B05 14F30 11G25 14G20 14J17 PDF BibTeX XML Cite \textit{T. Suzuki}, J. Algebra 633, 489--509 (2023; Zbl 07725301) Full Text: DOI arXiv
Li, Shizhang; Liu, Tong On the \(u^\infty\)-torsion submodule of prismatic cohomology. (English) Zbl 07720726 Compos. Math. 159, No. 8, 1607-1672 (2023). MSC: 14F30 11F80 PDF BibTeX XML Cite \textit{S. Li} and \textit{T. Liu}, Compos. Math. 159, No. 8, 1607--1672 (2023; Zbl 07720726) 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 PDF BibTeX XML Cite \textit{A. Mathew}, Tunis. J. Math. 5, No. 2, 369--403 (2023; Zbl 1515.14030) Full Text: DOI arXiv
Yao, Zijian Frobenius and the Hodge filtration of the generic fiber. (English) Zbl 07702887 Int. Math. Res. Not. 2023, No. 12, 10156-10173 (2023). MSC: 14F30 14G20 14G22 14F40 PDF BibTeX XML Cite \textit{Z. Yao}, Int. Math. Res. Not. 2023, No. 12, 10156--10173 (2023; Zbl 07702887) Full Text: DOI
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 07691686 Forum Math. Pi 11, Paper No. e16, 62 p. (2023). MSC: 14F20 14G22 14F30 14G45 PDF BibTeX XML Cite \textit{P. Colmez} et al., Forum Math. Pi 11, Paper No. e16, 62 p. (2023; Zbl 07691686) Full Text: DOI arXiv
Huyghe, Christine; Wach, Nathalie Crystalline interpretation of the Deligne-Illusie isomorphism. (Interprétation cristalline de l’isomorphisme de Deligne-Illusie.) (French. English summary) Zbl 1517.11144 Ann. Inst. Fourier 73, No. 3, 1133-1201 (2023). MSC: 11S23 14F30 14F40 PDF BibTeX XML Cite \textit{C. Huyghe} and \textit{N. Wach}, Ann. Inst. Fourier 73, No. 3, 1133--1201 (2023; Zbl 1517.11144) Full Text: DOI
Li, Wanlin; Litt, Daniel; Salter, Nick; Srinivasan, Padmavathi Surface bundles and the section conjecture. (English) Zbl 07686097 Math. Ann. 386, No. 1-2, 877-942 (2023). MSC: 14T20 11G20 11G30 14F30 14G05 PDF BibTeX XML Cite \textit{W. Li} et al., Math. Ann. 386, No. 1--2, 877--942 (2023; Zbl 07686097) Full Text: DOI arXiv
Gilles, Sally Period morphisms and syntomic cohomology. (Morphismes de périodes et cohomologie syntomique.) (French. English summary) Zbl 07679107 Algebra Number Theory 17, No. 3, 603-666 (2023). MSC: 14F20 14F30 11S25 14F40 14G22 PDF BibTeX XML Cite \textit{S. Gilles}, Algebra Number Theory 17, No. 3, 603--666 (2023; Zbl 07679107) Full Text: DOI
Tsygan, Boris On noncommutative crystalline cohomology. (English) Zbl 1520.16008 Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 491-511 (2023). MSC: 16E40 16S38 PDF BibTeX XML Cite \textit{B. Tsygan}, Proc. Symp. Pure Math. 105, 491--511 (2023; Zbl 1520.16008) Full Text: DOI
Hesselholt, Lars Topological cyclic homology and the Fargues-Fontaine curve. (English) Zbl 1509.11112 Connes, A. (ed.) et al., Cyclic cohomology at 40. Achievements and future prospects. Proceedings of the conference, virtual, Toronto, ON, Canada, September 27 – October 1, 2021. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 105, 197-210 (2023). MSC: 11S70 19D55 14F30 PDF BibTeX XML Cite \textit{L. Hesselholt}, Proc. Symp. Pure Math. 105, 197--210 (2023; Zbl 1509.11112) Full Text: DOI arXiv
Yao, Zijian Logarithmic de Rham-Witt complexes via the décalage operator. (English) Zbl 07674915 J. Inst. Math. Jussieu 22, No. 3, 1319-1382 (2023). MSC: 14F30 14G20 14G22 14F40 PDF BibTeX XML Cite \textit{Z. Yao}, J. Inst. Math. Jussieu 22, No. 3, 1319--1382 (2023; Zbl 07674915) Full Text: DOI arXiv
Beukers, Frits; Vlasenko, Masha On \(p\)-integrality of instanton numbers. (English) Zbl 1519.14052 Pure Appl. Math. Q. 19, No. 1, 7-44 (2023). MSC: 14N35 14F30 12H25 PDF BibTeX XML Cite \textit{F. Beukers} and \textit{M. Vlasenko}, Pure Appl. Math. Q. 19, No. 1, 7--44 (2023; Zbl 1519.14052) Full Text: DOI arXiv
Tsuzuki, Nobuo Minimal slope conjecture of \(F\)-isocrystals. (English) Zbl 1520.14040 Invent. Math. 231, No. 1, 39-109 (2023). Reviewer: Marco D’Addezio (Paris) MSC: 14F30 14G17 PDF BibTeX XML Cite \textit{N. Tsuzuki}, Invent. Math. 231, No. 1, 39--109 (2023; Zbl 1520.14040) Full Text: DOI arXiv
D’Addezio, Marco On the semi-simplicity conjecture for \(\mathbb{Q}^{\mathrm{ab}}\). (English) Zbl 1506.14040 Math. Res. Lett. 29, No. 4, 1003-1009 (2023). MSC: 14F30 12F10 PDF BibTeX XML Cite \textit{M. D'Addezio}, Math. Res. Lett. 29, No. 4, 1003--1009 (2023; Zbl 1506.14040) Full Text: DOI arXiv
Zhang, Dingxin On Vlasenko’s formal group laws. (English) Zbl 1516.14083 Manuscr. Math. 170, No. 1-2, 167-191 (2023). MSC: 14L05 11S31 14F30 PDF BibTeX XML Cite \textit{D. Zhang}, Manuscr. Math. 170, No. 1--2, 167--191 (2023; Zbl 1516.14083) Full Text: DOI arXiv
Di Proietto, Valentina; Tonini, Fabio; Zhang, Lei A crystalline incarnation of Berthelot’s conjecture and Künneth formula for isocrystals. (English) Zbl 1516.14046 J. Algebr. Geom. 32, No. 1, 93-141 (2023). MSC: 14F30 PDF BibTeX XML Cite \textit{V. Di Proietto} et al., J. Algebr. Geom. 32, No. 1, 93--141 (2023; Zbl 1516.14046) Full Text: DOI arXiv
Diao, Hansheng; Lan, Kai-Wen; Liu, Ruochuan; Zhu, Xinwen Logarithmic Riemann-Hilbert correspondences for rigid varieties. (English) Zbl 1504.14042 J. Am. Math. Soc. 36, No. 2, 483-562 (2023). Reviewer: Mohammad Reza Rahmati (León) MSC: 14F40 14G22 14D07 14F30 14G35 PDF BibTeX XML Cite \textit{H. Diao} et al., J. Am. Math. Soc. 36, No. 2, 483--562 (2023; Zbl 1504.14042) Full Text: DOI arXiv
Anschütz, Johannes; Le Bras, Arthur-César Prismatic Dieudonné theory. (English) Zbl 1515.14032 Forum Math. Pi 11, Paper No. e2, 92 p. (2023). MSC: 14F30 14L05 PDF BibTeX XML Cite \textit{J. Anschütz} and \textit{A.-C. Le Bras}, Forum Math. Pi 11, Paper No. e2, 92 p. (2023; Zbl 1515.14032) Full Text: DOI arXiv
Bhatt, Bhargav; Mathew, Akhil Syntomic complexes and \(p\)-adic étale Tate twists. (English) Zbl 1518.14032 Forum Math. Pi 11, Paper No. e1, 26 p. (2023). Reviewer: Michel Gros (Rennes) MSC: 14F30 14F42 PDF BibTeX XML Cite \textit{B. Bhatt} and \textit{A. Mathew}, Forum Math. Pi 11, Paper No. e1, 26 p. (2023; Zbl 1518.14032) Full Text: DOI arXiv
Hu, Po; Kriz, Igor; Somberg, Petr On the equivariant motivic filtration of the topological Hochschild homology of polynomial algebras. (English) Zbl 1502.19002 Adv. Math. 412, Article ID 108803, 12 p. (2023). MSC: 19D55 55N91 14F30 55N15 19D50 55P42 13D03 PDF BibTeX XML Cite \textit{P. Hu} et al., Adv. Math. 412, Article ID 108803, 12 p. (2023; Zbl 1502.19002) Full Text: DOI arXiv
Adolphson, Alan; Sperber, Steven Hyperkloosterman sums revisited. (English) Zbl 1503.14023 J. Number Theory 243, 328-351 (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F30 11T23 11L05 PDF BibTeX XML Cite \textit{A. Adolphson} and \textit{S. Sperber}, J. Number Theory 243, 328--351 (2023; Zbl 1503.14023) Full Text: DOI arXiv
Emerton, Matthew; Gee, Toby Moduli stacks of étale \((\Phi, \Gamma)\)-modules and the existence of crystalline lifts. (English) Zbl 07541727 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 PDF BibTeX XML Cite \textit{M. Emerton} and \textit{T. Gee}, Moduli stacks of étale \((\Phi, \Gamma)\)-modules and the existence of crystalline lifts. Princeton, NJ: Princeton University Press (2023; Zbl 07541727) Full Text: DOI arXiv
Kupferer, Benjamin; Venjakob, Otmar Herr-complexes in the Lubin-Tate setting. (English) Zbl 07738312 Mathematika 68, No. 1, 74-147 (2022). MSC: 11S25 11F85 11R23 14F30 14G20 PDF BibTeX XML Cite \textit{B. Kupferer} and \textit{O. Venjakob}, Mathematika 68, No. 1, 74--147 (2022; Zbl 07738312) Full Text: DOI arXiv OA License
Mathew, Akhil Some recent advances in topological Hochschild homology. (English) Zbl 1520.19005 Bull. Lond. Math. Soc. 54, No. 1, 1-44 (2022). MSC: 19D55 13D03 14F30 14F40 PDF BibTeX XML Cite \textit{A. Mathew}, Bull. Lond. Math. Soc. 54, No. 1, 1--44 (2022; Zbl 1520.19005) Full Text: DOI arXiv
Lawrence, Brian; Litt, Daniel Representations of surface groups with universally finite mapping class group orbit. (English) Zbl 07682677 Math. Res. Lett. 29, No. 6, 1793-1815 (2022). MSC: 14D05 14F30 14G22 32S40 PDF BibTeX XML Cite \textit{B. Lawrence} and \textit{D. Litt}, Math. Res. Lett. 29, No. 6, 1793--1815 (2022; Zbl 07682677) Full Text: DOI 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 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, Épijournal de Géom. Algébr., EPIGA 6, Article 20, 30 p. (2022; Zbl 1512.14012) Full Text: DOI arXiv
Antieau, Benjamin; Mathew, Akhil; Morrow, Matthew; Nikolaus, Thomas On the Beilinson fiber square. (English) Zbl 1508.14017 Duke Math. J. 171, No. 18, 3707-3806 (2022). Reviewer: Christoph Winges (Regensburg) MSC: 14F30 14F40 19D55 19E15 PDF BibTeX XML Cite \textit{B. Antieau} et al., Duke Math. J. 171, No. 18, 3707--3806 (2022; Zbl 1508.14017) Full Text: DOI arXiv
Aribam, Chandrakant; Kwatra, Neha Galois cohomology for Lubin-Tate \((\varphi_q,\Gamma_{LT})\)-modules over coefficient rings. (English) Zbl 07622905 Res. Number Theory 8, No. 4, Paper No. 104, 36 p. (2022). Reviewer: Nikolaj M. Glazunov (Sofia) MSC: 11F80 11F85 11S25 11S31 14F30 PDF BibTeX XML Cite \textit{C. Aribam} and \textit{N. Kwatra}, Res. Number Theory 8, No. 4, Paper No. 104, 36 p. (2022; Zbl 07622905) Full Text: DOI arXiv
Song, Ziyan Rigid analytic \(p\)-adic Simpson correspondence for line bundles. (English) Zbl 07621114 Commun. Math. Stat. 10, No. 4, 739-756 (2022). MSC: 14F30 14D20 14D22 14F10 14F35 14G22 14H60 PDF BibTeX XML Cite \textit{Z. Song}, Commun. Math. Stat. 10, No. 4, 739--756 (2022; Zbl 07621114) Full Text: DOI arXiv
Benois, Denis An introduction to \(p\)-adic Hodge theory. (English) Zbl 1498.11001 Banerjee, Debargha (ed.) et al., Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9–20, 2019. Singapore: Springer. Infosys Sci. Found. Ser., 69-219 (2022). MSC: 11-01 14-01 11S15 14F30 11S20 14G20 11F80 14L05 11F85 14G45 14C30 PDF BibTeX XML Cite \textit{D. Benois}, in: Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9--20, 2019. Singapore: Springer. 69--219 (2022; Zbl 1498.11001) Full Text: DOI
Hartl, Urs; Singh, Rajneesh Kumar A short review on local shtukas and divisible local Anderson modules. (English) Zbl 1498.14117 Banerjee, Debargha (ed.) et al., Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9–20, 2019. Singapore: Springer. Infosys Sci. Found. Ser., 51-68 (2022). MSC: 14L05 11G09 14G45 13A35 14F30 14L15 14G20 11S20 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{R. K. Singh}, in: Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9--20, 2019. Singapore: Springer. 51--68 (2022; Zbl 1498.14117) Full Text: DOI
Vezzani, Alberto The relative (de-)perfectoidification functor and motivic \(p\)-adic cohomologies. (English) Zbl 1498.14068 Banerjee, Debargha (ed.) et al., Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9–20, 2019. Singapore: Springer. Infosys Sci. Found. Ser., 15-36 (2022). MSC: 14G45 14G20 14F30 PDF BibTeX XML Cite \textit{A. Vezzani}, in: Perfectoid spaces. Selected papers based on the presentations at the conference, Bengaluru, India, September 9--20, 2019. Singapore: Springer. 15--36 (2022; Zbl 1498.14068) Full Text: DOI
Bhatt, Bhargav; Scholze, Peter Prisms and prismatic cohomology. (English) Zbl 07611906 Ann. Math. (2) 196, No. 3, 1135-1275 (2022). MSC: 14F20 14F30 14F40 PDF BibTeX XML Cite \textit{B. Bhatt} and \textit{P. Scholze}, Ann. Math. (2) 196, No. 3, 1135--1275 (2022; Zbl 07611906) Full Text: DOI arXiv
Li, Shizhang Integral \(p\)-adic Hodge filtrations in low dimension and ramification. (English) Zbl 1515.14033 J. Eur. Math. Soc. (JEMS) 24, No. 11, 3801-3827 (2022). MSC: 14F30 14F40 14G22 18N60 PDF BibTeX XML Cite \textit{S. Li}, J. Eur. Math. Soc. (JEMS) 24, No. 11, 3801--3827 (2022; Zbl 1515.14033) Full Text: DOI arXiv
Esnault, Hélène; Wan, Daqing Divisibility of Frobenius eigenvalues on \({\ell}\)-adic cohomology. (English) Zbl 1499.14040 Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 60, 7 p. (2022). MSC: 14F30 14G10 11G25 14G15 PDF BibTeX XML Cite \textit{H. Esnault} and \textit{D. Wan}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 60, 7 p. (2022; Zbl 1499.14040) Full Text: DOI arXiv
Mondal, Shubhodip \(\mathbb{G}_a^{\operatorname{perf}} \)-modules and de Rham cohomology. (English) Zbl 1509.14049 Adv. Math. 409 B, Article ID 108691, 72 p. (2022). MSC: 14F30 14F35 14F40 14L15 16T05 16T15 PDF BibTeX XML Cite \textit{S. Mondal}, Adv. Math. 409 B, Article ID 108691, 72 p. (2022; Zbl 1509.14049) Full Text: DOI arXiv
Mondal, Shubhodip A computation of prismatic Dieudonné module. (English) Zbl 1497.14086 Acta Arith. 205, No. 1, 87-96 (2022). MSC: 14L05 14F30 PDF BibTeX XML Cite \textit{S. Mondal}, Acta Arith. 205, No. 1, 87--96 (2022; Zbl 1497.14086) Full Text: DOI
Ambrosi, Emiliano; D’Addezio, Marco Maximal tori of monodromy groups of \(F\)-isocrystals and an application to abelian varieties. (English) Zbl 1507.14028 Algebr. Geom. 9, No. 5, 633-650 (2022). MSC: 14F30 11G10 11G25 14K15 PDF BibTeX XML Cite \textit{E. Ambrosi} and \textit{M. D'Addezio}, Algebr. Geom. 9, No. 5, 633--650 (2022; Zbl 1507.14028) Full Text: DOI arXiv
D’Addezio, Marco; Esnault, Hélène On the universal extensions in Tannakian categories. (English) Zbl 07594734 Int. Math. Res. Not. 2022, No. 18, 14008-14033 (2022). MSC: 18E10 14D07 14F30 18A40 18G15 32G20 PDF BibTeX XML Cite \textit{M. D'Addezio} and \textit{H. Esnault}, Int. Math. Res. Not. 2022, No. 18, 14008--14033 (2022; Zbl 07594734) Full Text: DOI arXiv
Davis, Christopher; Patchkoria, Irakli On the de Rham-Witt complex over perfectoid rings. (English) Zbl 1514.14025 Int. Math. Res. Not. 2022, No. 18, 13897-13983 (2022). Reviewer: Rubén Muñoz-Bertrand (Toulouse) MSC: 14F30 13F35 14F40 14G45 PDF BibTeX XML Cite \textit{C. Davis} and \textit{I. Patchkoria}, Int. Math. Res. Not. 2022, No. 18, 13897--13983 (2022; Zbl 1514.14025) Full Text: DOI arXiv
Munoz-Bertrand, Rubén Pseudovaluations on the de Rham-Witt complex. (English. French summary) Zbl 1507.14029 Bull. Soc. Math. Fr. 150, No. 1, 53-75 (2022). MSC: 14F30 13F35 PDF BibTeX XML Cite \textit{R. Munoz-Bertrand}, Bull. Soc. Math. Fr. 150, No. 1, 53--75 (2022; Zbl 1507.14029) 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 PDF BibTeX XML Cite \textit{D. Caro} and \textit{D. Vauclair}, Ann. Inst. Fourier 72, No. 3, 1011--1096 (2022; Zbl 1508.14018) Full Text: DOI arXiv
Pál, Ambrus The \(p\)-adic monodromy group of abelian varieties over global function fields of characteristic \(p\). (English) Zbl 1495.14065 Doc. Math. 27, 1509-1579 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14K15 14F30 14F35 PDF BibTeX XML Cite \textit{A. Pál}, Doc. Math. 27, 1509--1579 (2022; Zbl 1495.14065) Full Text: DOI arXiv
Mondal, Shubhodip Reconstruction of the stacky approach to de Rham cohomology. (English) Zbl 1495.14033 Math. Z. 302, No. 2, 687-693 (2022). MSC: 14F30 14F40 20G05 PDF BibTeX XML Cite \textit{S. Mondal}, Math. Z. 302, No. 2, 687--693 (2022; Zbl 1495.14033) Full Text: DOI arXiv
Wakabayashi, Yasuhiro Symplectic geometry of \(p\)-adic Teichmüller uniformization for ordinary nilpotent indigenous bundles. (English) Zbl 1507.14031 Tunis. J. Math. 4, No. 2, 203-247 (2022). MSC: 14F30 14H10 53D30 PDF BibTeX XML Cite \textit{Y. Wakabayashi}, Tunis. J. Math. 4, No. 2, 203--247 (2022; Zbl 1507.14031) 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 PDF BibTeX XML Cite \textit{F. Binda} et al., Forum Math. Sigma 10, Paper No. e72, 111 p. (2022; Zbl 1506.14047) Full Text: DOI arXiv
Hernandez-Mada, Genaro A Clemens-Schmid type exact sequence over a local basis. (English) Zbl 1493.14029 Rev. Unión Mat. Argent. 63, No. 1, 281-292 (2022). MSC: 14F30 11G25 PDF BibTeX XML Cite \textit{G. Hernandez-Mada}, Rev. Unión Mat. Argent. 63, No. 1, 281--292 (2022; Zbl 1493.14029) Full Text: DOI
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława Cohomology of analytical \(p\)-adic curves. (Cohomologie des courbes analytiques \(p\)-adiques.) (English) Zbl 07565531 Camb. J. Math. 10, No. 3, 511-655 (2022). MSC: 14Fxx 14Hxx 14F20 14F30 14G22 14H99 PDF BibTeX XML Cite \textit{P. Colmez} et al., Camb. J. Math. 10, No. 3, 511--655 (2022; Zbl 07565531) Full Text: DOI arXiv
Lemcke, Niklas Duality for Witt-divisorial sheaves. (English) Zbl 1487.14049 Ark. Mat. 60, No. 1, 107-124 (2022). MSC: 14F17 14F30 14F06 14G17 PDF BibTeX XML Cite \textit{N. Lemcke}, Ark. Mat. 60, No. 1, 107--124 (2022; Zbl 1487.14049) Full Text: DOI arXiv
Lai, King Fai Differential equations and Lie group representations. (English) Zbl 1489.11195 Front. Math. China 17, No. 2, 171-225 (2022); translation from Adv. Math., Beijing 48, No. 3, 257–301 (2019). MSC: 11S80 14F30 20G05 20G25 22E45 22E50 PDF BibTeX XML Cite \textit{K. F. Lai}, Front. Math. China 17, No. 2, 171--225 (2022; Zbl 1489.11195); translation from Adv. Math., Beijing 48, No. 3, 257--301 (2019) Full Text: DOI
Antieau, Benjamin; Bragg, Daniel Derived invariants from topological Hochschild homology. (English) Zbl 07529483 Algebr. Geom. 9, No. 3, 364-399 (2022). MSC: 14F30 14F40 19D55 PDF BibTeX XML Cite \textit{B. Antieau} and \textit{D. Bragg}, Algebr. Geom. 9, No. 3, 364--399 (2022; Zbl 07529483) Full Text: DOI arXiv
Chiarellotto, Bruno; Lazda, Christopher; Liedtke, Christian Good reduction of \(K3\) surfaces in equicharacteristic \(p\). (English) Zbl 1490.14060 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 1, 483-500 (2022). Reviewer: Haitao Zou (Shanghai) MSC: 14J28 11G25 14F30 PDF BibTeX XML Cite \textit{B. Chiarellotto} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 1, 483--500 (2022; Zbl 1490.14060) Full Text: DOI arXiv
Li, Peigen Exponential sums and rigid cohomology. (English) Zbl 1496.11138 Finite Fields Appl. 81, Article ID 102031, 16 p. (2022). Reviewer: Dingxin Zhang (Beijing) MSC: 11T23 11L03 14F30 14G22 PDF BibTeX XML Cite \textit{P. Li}, Finite Fields Appl. 81, Article ID 102031, 16 p. (2022; Zbl 1496.11138) Full Text: DOI arXiv
Kramer-Miller, Joe The monodromy of unit-root \(F\)-isocrystals with geometric origin. (English) Zbl 1502.14052 Compos. Math. 158, No. 2, 334-365 (2022). Reviewer: Daxin Xu (Beijing) MSC: 14F30 11G20 PDF BibTeX XML Cite \textit{J. Kramer-Miller}, Compos. Math. 158, No. 2, 334--365 (2022; Zbl 1502.14052) Full Text: DOI arXiv
Lazda, Christopher A note on effective descent for overconvergent isocrystals. (English) Zbl 1484.14041 J. Number Theory 237, 395-410 (2022). MSC: 14F30 PDF BibTeX XML Cite \textit{C. Lazda}, J. Number Theory 237, 395--410 (2022; Zbl 1484.14041) Full Text: DOI arXiv
Kedlaya, Kiran S. Notes on isocrystals. (English) Zbl 1502.14051 J. Number Theory 237, 353-394 (2022). Reviewer: Shishir Agrawal (San Diego) MSC: 14F30 12H25 14F10 14G20 14G22 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, J. Number Theory 237, 353--394 (2022; Zbl 1502.14051) Full Text: DOI arXiv
Huyghe, Christine; Schmidt, Tobias; Strauch, Matthias Arithmetic differential operators with congruence level structures: first results and examples. (English) Zbl 1497.14038 J. Number Theory 237, 332-352 (2022). Reviewer: Shishir Agrawal (San Diego) MSC: 14F10 14F30 11S80 PDF BibTeX XML Cite \textit{C. Huyghe} et al., J. Number Theory 237, 332--352 (2022; Zbl 1497.14038) Full Text: DOI
Gregory, Oliver Crystals of relative displays and Calabi-Yau threefolds. (English) Zbl 1493.14028 J. Number Theory 237, 257-284 (2022). MSC: 14F30 14J32 14F40 14D15 PDF BibTeX XML Cite \textit{O. Gregory}, J. Number Theory 237, 257--284 (2022; Zbl 1493.14028) Full Text: DOI
Ertl, Veronika A new proof of a vanishing result due to Berthelot, Esnault, and Rülling. (English) Zbl 1485.14038 J. Number Theory 237, 242-256 (2022). MSC: 14F30 14F40 14G20 PDF BibTeX XML Cite \textit{V. Ertl}, J. Number Theory 237, 242--256 (2022; Zbl 1485.14038) Full Text: DOI arXiv
Agrawal, Shishir Deformations of overconvergent isocrystals on the projective line. (English) Zbl 1492.14032 J. Number Theory 237, 167-241 (2022). Reviewer: Dingxin Zhang (Beijing) MSC: 14F30 14F10 12H25 14G20 14G22 PDF BibTeX XML Cite \textit{S. Agrawal}, J. Number Theory 237, 167--241 (2022; Zbl 1492.14032) Full Text: DOI arXiv Link
Sun, Ruiran; Yang, Jinbang; Zuo, Kang Projective crystalline representations of étale fundamental groups and twisted periodic Higgs-de Rham flow. (English) Zbl 1493.14031 J. Eur. Math. Soc. (JEMS) 24, No. 6, 1991-2076 (2022). Reviewer: Adrian Langer (Warszawa) MSC: 14F30 14H60 PDF BibTeX XML Cite \textit{R. Sun} et al., J. Eur. Math. Soc. (JEMS) 24, No. 6, 1991--2076 (2022; Zbl 1493.14031) 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 PDF BibTeX XML Cite \textit{L. Illusie}, Tunis. J. Math. 4, No. 1, 159--181 (2022; Zbl 1506.11083) Full Text: DOI
Gros, Michel; Le Stum, Bernard; Quirós, Adolfo Twisted differential operators of negative level and prismatic crystals. (English) Zbl 1499.14041 Tunis. J. Math. 4, No. 1, 19-53 (2022). Reviewer: Daxin Xu (Beijing) MSC: 14F30 05A30 13N10 14F40 12H10 PDF BibTeX XML Cite \textit{M. Gros} et al., Tunis. J. Math. 4, No. 1, 19--53 (2022; Zbl 1499.14041) Full Text: DOI arXiv
Chen, Miaofen; Nie, Sian Connectedness of Kisin varieties associated to absolutely irreducible Galois representations. (English) Zbl 1483.11107 J. Reine Angew. Math. 785, 31-54 (2022). MSC: 11F80 11R39 14L15 14F30 PDF BibTeX XML Cite \textit{M. Chen} and \textit{S. Nie}, J. Reine Angew. Math. 785, 31--54 (2022; Zbl 1483.11107) Full Text: DOI arXiv
Wang, Chunlin; Yang, Liping Newton polygons for \(L\)-functions of generalized Kloosterman sums. (English) Zbl 1520.11074 Forum Math. 34, No. 1, 77-96 (2022). MSC: 11L05 14F30 11T23 11S40 14D10 14G15 PDF BibTeX XML Cite \textit{C. Wang} and \textit{L. Yang}, Forum Math. 34, No. 1, 77--96 (2022; Zbl 1520.11074) Full Text: DOI arXiv
Xu, Daxin; Zhu, Xinwen Bessel \(F\)-isocrystals for reductive groups. (English) Zbl 1493.14032 Invent. Math. 227, No. 3, 997-1092 (2022). Reviewer: Rubén Muñoz-Bertrand (Toulouse) MSC: 14F30 14F10 12H25 14G20 11T23 PDF BibTeX XML Cite \textit{D. Xu} and \textit{X. Zhu}, Invent. Math. 227, No. 3, 997--1092 (2022; Zbl 1493.14032) Full Text: DOI arXiv
Bergdall, John; Levin, Brandon Reductions of some two-dimensional crystalline representations via Kisin modules. (English) Zbl 1498.11144 Int. Math. Res. Not. 2022, No. 4, 3170-3197 (2022). Reviewer: Judith Ludwig (Heidelberg) MSC: 11F80 11F85 14F30 PDF BibTeX XML Cite \textit{J. Bergdall} and \textit{B. Levin}, Int. Math. Res. Not. 2022, No. 4, 3170--3197 (2022; Zbl 1498.11144) Full Text: DOI arXiv
Kramer-Miller, Joe \(p\)-adic estimates of abelian Artin \(L\)-functions on curves. (English) Zbl 1497.11284 Forum Math. Sigma 10, Paper No. e2, 30 p. (2022). MSC: 11S40 11G20 11T24 14F30 PDF BibTeX XML Cite \textit{J. Kramer-Miller}, Forum Math. Sigma 10, Paper No. e2, 30 p. (2022; Zbl 1497.11284) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{C. Greither} and \textit{C. Popescu}, J. Théor. Nombres Bordx. 33, No. 3, Part 1, 835--852 (2022; Zbl 1486.11111) Full Text: DOI
Tanaka, Hiromu Vanishing theorems of Kodaira type for Witt canonical sheaves. (English) Zbl 1490.14032 Sel. Math., New Ser. 28, No. 1, Paper No. 12, 50 p. (2022). MSC: 14F30 14F17 PDF BibTeX XML Cite \textit{H. Tanaka}, Sel. Math., New Ser. 28, No. 1, Paper No. 12, 50 p. (2022; Zbl 1490.14032) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{Y. Zhao}, J. Algebra 592, 64--99 (2022; Zbl 1483.14037) Full Text: DOI arXiv
Rojas-León, Antonio On a generalization of Jacobi sums. (English) Zbl 1475.11216 Finite Fields Appl. 77, Article ID 101944, 15 p. (2022). MSC: 11T24 11L05 11L07 14F30 PDF BibTeX XML Cite \textit{A. Rojas-León}, Finite Fields Appl. 77, Article ID 101944, 15 p. (2022; Zbl 1475.11216) Full Text: DOI arXiv
Brinon, Olivier On the injectivity of Frobenius on \(p\)-adic period rings. (English) Zbl 1474.14033 Proc. Am. Math. Soc. 150, No. 1, 75-78 (2022). MSC: 14F30 14G20 11F80 13A35 PDF BibTeX XML Cite \textit{O. Brinon}, Proc. Am. Math. Soc. 150, No. 1, 75--78 (2022; Zbl 1474.14033) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. Cadoret}, J. Number Theory 230, 64--88 (2022; Zbl 1480.14016) Full Text: DOI
Tsuji, Takeshi The \(p\)-adic Simpson correspondence. (Japanese. English summary) Zbl 1507.14030 RIMS Kôkyûroku Bessatsu B86, 199-227 (2021). MSC: 14F30 14C30 14H60 PDF BibTeX XML Cite \textit{T. Tsuji}, RIMS Kôkyûroku Bessatsu B86, 199--227 (2021; Zbl 1507.14030) Full Text: Link
Tyurin, Dimitrii N. Generalization of the Artin-Hasse logarithm for the Milnor \(K\)-groups of \(\delta\)-rings. (English. Russian original) Zbl 1483.19001 Sb. Math. 212, No. 12, 1746-1764 (2021); translation from Mat. Sb. 212, No. 12, 1746-1764 (2021). MSC: 19D45 13F25 14F08 14F30 PDF BibTeX XML Cite \textit{D. N. Tyurin}, Sb. Math. 212, No. 12, 1746--1764 (2021; Zbl 1483.19001); translation from Mat. Sb. 212, No. 12, 1746--1764 (2021) Full Text: DOI
Illusie, Luc A new approach to de Rham-Witt complexes, after Bhatt, Lurie, and Mathew. (English) Zbl 1490.14031 Rend. Semin. Mat. Univ. Padova 146, 177-221 (2021). Reviewer: Dingxin Zhang (Beijing) MSC: 14F30 14F40 14G17 14B05 PDF BibTeX XML Cite \textit{L. Illusie}, Rend. Semin. Mat. Univ. Padova 146, 177--221 (2021; Zbl 1490.14031) Full Text: DOI
Yu, Chia-Fu On reduction of moduli schemes of abelian varieties with definite quaternion multiplications. (Sur la réduction des schémas de modules de variétés abéliennes à multiplication quaternionique définie.) (English. French summary) Zbl 1492.14042 Ann. Inst. Fourier 71, No. 2, 539-613 (2021). Reviewer: Andrea Marrama (Paris) MSC: 14G35 14L05 14F30 PDF BibTeX XML Cite \textit{C.-F. Yu}, Ann. Inst. Fourier 71, No. 2, 539--613 (2021; Zbl 1492.14042) Full Text: DOI arXiv
Lau, Eike Higher frames and \(G\)-displays. (English) Zbl 07463744 Algebra Number Theory 15, No. 9, 2315-2355 (2021). MSC: 14F30 14J28 PDF BibTeX XML Cite \textit{E. Lau}, Algebra Number Theory 15, No. 9, 2315--2355 (2021; Zbl 07463744) Full Text: DOI arXiv
Huyghe, Christine; Schmidt, Tobias Intermediate extensions and crystalline distribution algebras. (English) Zbl 1492.14031 Doc. Math. 26, 2005-2059 (2021). Reviewer: Daxin Xu (Beijing) MSC: 14F10 14F30 11F70 14G20 PDF BibTeX XML Cite \textit{C. Huyghe} and \textit{T. Schmidt}, Doc. Math. 26, 2005--2059 (2021; Zbl 1492.14031) Full Text: DOI arXiv
Kubrak, Dmitry; Travkin, Roman Resolutions with conical slices and descent for the Brauer group classes of certain central reductions of differential operators in characteristic \(p\). (English) Zbl 1487.14051 Int. Math. Res. Not. 2021, No. 19, 14629-14719 (2021). MSC: 14F22 14F30 PDF BibTeX XML Cite \textit{D. Kubrak} and \textit{R. Travkin}, Int. Math. Res. Not. 2021, No. 19, 14629--14719 (2021; Zbl 1487.14051) Full Text: DOI arXiv
Mondal, Shubhodip Dieudonné theory via cohomology of classifying stacks. (English) Zbl 1493.14030 Forum Math. Sigma 9, Paper No. e81, 25 p. (2021). MSC: 14F30 14L15 14D23 11G25 PDF BibTeX XML Cite \textit{S. Mondal}, Forum Math. Sigma 9, Paper No. e81, 25 p. (2021; Zbl 1493.14030) Full Text: DOI arXiv
Gregory, Oli; Langer, Andreas Higher displays arising from filtered de Rham-Witt complexes. (English) Zbl 1476.14049 Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 121-140 (2021). MSC: 14F30 14F40 PDF BibTeX XML Cite \textit{O. Gregory} and \textit{A. Langer}, Prog. Math. 338, 121--140 (2021; Zbl 1476.14049) Full Text: DOI arXiv
Guo, Haoyang; Li, Shizhang Period sheaves via derived de Rham cohomology. (English) Zbl 1484.14040 Compos. Math. 157, No. 11, 2377-2406 (2021). Reviewer: Márton Hablicsek (Leiden) MSC: 14F30 14F40 14G22 14G45 PDF BibTeX XML Cite \textit{H. Guo} and \textit{S. Li}, Compos. Math. 157, No. 11, 2377--2406 (2021; Zbl 1484.14040) Full Text: DOI arXiv
Adolphson, Alan; Sperber, Steven \(A\)-hypergeometric series and a \(p\)-adic refinement of the Hasse-Witt matrix. (English) Zbl 1483.11128 Abh. Math. Semin. Univ. Hamb. 91, No. 2, 225-256 (2021). MSC: 11G25 14D10 14F30 14G15 PDF BibTeX XML Cite \textit{A. Adolphson} and \textit{S. Sperber}, Abh. Math. Semin. Univ. Hamb. 91, No. 2, 225--256 (2021; Zbl 1483.11128) Full Text: DOI arXiv
Achinger, Piotr; Zdanowicz, Maciej Serre-Tate theory for Calabi-Yau varieties. (English) Zbl 1489.14048 J. Reine Angew. Math. 780, 139-196 (2021). MSC: 14J32 14D15 14F30 14F40 14C30 PDF BibTeX XML Cite \textit{P. Achinger} and \textit{M. Zdanowicz}, J. Reine Angew. Math. 780, 139--196 (2021; Zbl 1489.14048) Full Text: DOI arXiv
Nakkajima, Yukiyoshi; Yobuko, Fuetaro Degenerations of log Hodge de Rham spectral sequences, log Kodaira vanishing theorem in characteristic \(p>0\) and log weak Lefschetz conjecture for log crystalline cohomologies. (English) Zbl 1498.14046 Eur. J. Math. 7, No. 4, 1537-1615 (2021). Reviewer: Dingxin Zhang (Beijing) MSC: 14F30 14F40 14J32 PDF BibTeX XML Cite \textit{Y. Nakkajima} and \textit{F. Yobuko}, Eur. J. Math. 7, No. 4, 1537--1615 (2021; Zbl 1498.14046) Full Text: DOI arXiv
Lazda, Christopher; Pál, Ambrus A homotopy exact sequence for overconvergent isocrystals. (English) Zbl 1483.14038 Forum Math. Sigma 9, Paper No. e71, 33 p. (2021). Reviewer: Rubén Muñoz-Bertrand (Paris) MSC: 14F35 14F30 PDF BibTeX XML Cite \textit{C. Lazda} and \textit{A. Pál}, Forum Math. Sigma 9, Paper No. e71, 33 p. (2021; Zbl 1483.14038) Full Text: DOI arXiv