Favre, Charles; Gauthier, Thomas Moduli stacks of étale \((\Phi, \Gamma)\)-modules and the existence of crystalline lifts (to appear). (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). (2022). MSC: 11-02 14-02 11Gxx 11Fxx 14F20 14F30 PDF BibTeX XML Full Text: DOI OpenURL
Lemcke, Niklas Duality for Witt-divisorial sheaves. (English) Zbl 07533809 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 07533809) Full Text: DOI OpenURL
Lai, King Fai Differential equations and Lie group representations. (English) Zbl 07531459 Front. Math. China 17, No. 2, 171-225 (2022). 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 07531459) Full Text: DOI OpenURL
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 OpenURL
Chiarellotto, Bruno; Lazda, Christopher; Liedtke, Christian Good reduction of K3 surfaces in equicharacteristic \(p\). (English) Zbl 07524684 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 1, 483-500 (2022). 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 07524684) Full Text: DOI OpenURL
Kramer-Miller, Joe The monodromy of unit-root \(F\)-isocrystals with geometric origin. (English) Zbl 07522564 Compos. Math. 158, No. 2, 334-365 (2022). MSC: 14F30 11G20 PDF BibTeX XML Cite \textit{J. Kramer-Miller}, Compos. Math. 158, No. 2, 334--365 (2022; Zbl 07522564) Full Text: DOI OpenURL
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 OpenURL
Kedlaya, Kiran S. Notes on isocrystals. (English) Zbl 07510301 J. Number Theory 237, 353-394 (2022). MSC: 14F30 12H25 14F10 14G20 14G22 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, J. Number Theory 237, 353--394 (2022; Zbl 07510301) Full Text: DOI OpenURL
Huyghe, Christine; Schmidt, Tobias; Strauch, Matthias Arithmetic differential operators with congruence level structures: first results and examples. (English) Zbl 07510300 J. Number Theory 237, 332-352 (2022). MSC: 14F10 14F30 11S80 PDF BibTeX XML Cite \textit{C. Huyghe} et al., J. Number Theory 237, 332--352 (2022; Zbl 07510300) Full Text: DOI OpenURL
Gregory, Oliver Crystals of relative displays and Calabi-Yau threefolds. (English) Zbl 07510298 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 07510298) Full Text: DOI OpenURL
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 OpenURL
Agrawal, Shishir Deformations of overconvergent isocrystals on the projective line. (English) Zbl 07510296 J. Number Theory 237, 167-241 (2022). MSC: 14F30 14F10 12H25 14G20 14G22 PDF BibTeX XML Cite \textit{S. Agrawal}, J. Number Theory 237, 167--241 (2022; Zbl 07510296) Full Text: DOI OpenURL
Sun, Ruiran; Yang, Jinbang; Zuo, Kang Projective crystalline representations of étale fundamental groups and twisted periodic Higgs-de Rham flow. (English) Zbl 07509412 J. Eur. Math. Soc. (JEMS) 24, No. 6, 1991-2076 (2022). MSC: 14F30 PDF BibTeX XML Cite \textit{R. Sun} et al., J. Eur. Math. Soc. (JEMS) 24, No. 6, 1991--2076 (2022; Zbl 07509412) Full Text: DOI OpenURL
Illusie, Luc Generic constructibility and uniformity in \(\ell\). (Constructibilité générique et uniformité en \(\ell\).) (French. English summary) Zbl 07505870 Tunis. J. Math. 4, No. 1, 159-181 (2022). MSC: 11F80 14F08 14F20 14F30 14G25 PDF BibTeX XML Cite \textit{L. Illusie}, Tunis. J. Math. 4, No. 1, 159--181 (2022; Zbl 07505870) Full Text: DOI OpenURL
Gros, Michel; Le Stum, Bernard; Quirós, Adolfo Twisted differential operators of negative level and prismatic crystals. (English) Zbl 07505867 Tunis. J. Math. 4, No. 1, 19-53 (2022). 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 07505867) Full Text: DOI OpenURL
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 OpenURL
Wang, Chunlin; Yang, Liping Newton polygons for \(L\)-functions of generalized Kloosterman sums. (English) Zbl 07502666 Forum Math. 34, No. 1, 77-96 (2022). MSC: 14F30 11L05 11T23 11S40 PDF BibTeX XML Cite \textit{C. Wang} and \textit{L. Yang}, Forum Math. 34, No. 1, 77--96 (2022; Zbl 07502666) Full Text: DOI OpenURL
Xu, Daxin; Zhu, Xinwen Bessel \(F\)-isocrystals for reductive groups. (English) Zbl 07495368 Invent. Math. 227, No. 3, 997-1092 (2022). 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 07495368) Full Text: DOI OpenURL
Bergdall, John; Levin, Brandon Reductions of some two-dimensional crystalline representations via Kisin modules. (English) Zbl 07487084 Int. Math. Res. Not. 2022, No. 4, 3170-3197 (2022). 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 07487084) Full Text: DOI arXiv OpenURL
Greither, Cornelius; Popescu, Cristian Picard 1-motives and Tate sequences for function fields. (English. French summary) Zbl 07469017 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 07469017) Full Text: DOI OpenURL
Tanaka, Hiromu Vanishing theorems of Kodaira type for Witt canonical sheaves. (English) Zbl 07451864 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 07451864) Full Text: DOI arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Illusie, Luc A new approach to de Rham-Witt complexes, after Bhatt, Lurie, and Mathew. (English) Zbl 07473031 Rend. Semin. Mat. Univ. Padova 146, 177-221 (2021). MSC: 14F30 14F40 14G17 14B05 PDF BibTeX XML Cite \textit{L. Illusie}, Rend. Semin. Mat. Univ. Padova 146, 177--221 (2021; Zbl 07473031) Full Text: DOI OpenURL
Lau, Eike Higher frames and \(G\)-displays. (English) Zbl 07463744 Algebra Number Theory 15, No. 9, 2315-2355 (2021). MSC: 14F30 PDF BibTeX XML Cite \textit{E. Lau}, Algebra Number Theory 15, No. 9, 2315--2355 (2021; Zbl 07463744) Full Text: DOI arXiv OpenURL
Huyghe, Christine; Schmidt, Tobias Intermediate extensions and crystalline distribution algebras. (English) Zbl 07459348 Doc. Math. 26, 2005-2059 (2021). MSC: 14F10 14F30 11F70 14G20 PDF BibTeX XML Cite \textit{C. Huyghe} and \textit{T. Schmidt}, Doc. Math. 26, 2005--2059 (2021; Zbl 07459348) Full Text: DOI arXiv OpenURL
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 07456776 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 07456776) Full Text: DOI arXiv OpenURL
Mondal, Shubhodip Dieudonné theory via cohomology of classifying stacks. (English) Zbl 07450658 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 07450658) Full Text: DOI arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Achinger, Piotr; Zdanowicz, Maciej Serre-Tate theory for Calabi-Yau varieties. (English) Zbl 07436418 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 07436418) Full Text: DOI arXiv OpenURL
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 07432465 Eur. J. Math. 7, No. 4, 1537-1615 (2021). 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 07432465) Full Text: DOI arXiv OpenURL
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 OpenURL
Lang, Jaclyn; Ludwig, Judith \(\mathbb{A}_{\mathrm{inf}}\) is infinite dimensional. (English) Zbl 1475.13037 J. Inst. Math. Jussieu 20, No. 6, 1983-1989 (2021). MSC: 13F35 13F25 14F30 PDF BibTeX XML Cite \textit{J. Lang} and \textit{J. Ludwig}, J. Inst. Math. Jussieu 20, No. 6, 1983--1989 (2021; Zbl 1475.13037) Full Text: DOI arXiv OpenURL
Anschütz, Johannes Breuil-Kisin-Fargues modules with complex multiplication. (English) Zbl 07418759 J. Inst. Math. Jussieu 20, No. 6, 1855-1904 (2021). Reviewer: Salman Abdulali (Greenville) MSC: 14F30 13F35 PDF BibTeX XML Cite \textit{J. Anschütz}, J. Inst. Math. Jussieu 20, No. 6, 1855--1904 (2021; Zbl 07418759) Full Text: DOI arXiv OpenURL
Milićević, Elizabeth Maximal Newton points and the quantum Bruhat graph. (English) Zbl 1484.14098 Mich. Math. J. 70, No. 3, 451-502 (2021). MSC: 14M15 14F30 14N35 20G25 05E05 PDF BibTeX XML Cite \textit{E. Milićević}, Mich. Math. J. 70, No. 3, 451--502 (2021; Zbl 1484.14098) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{S. Orlik}, Doc. Math. 26, 1395--1421 (2021; Zbl 1481.14037) Full Text: DOI arXiv OpenURL
Berger, Laurent; Di Matteo, Giovanni On triangulable tensor products of \(B\)-pairs and trianguline representations. (English) Zbl 07410930 Int. J. Number Theory 17, No. 10, 2221-2233 (2021). Reviewer: Dingxin Zhang (Beijing) MSC: 14F30 11F80 11F33 11S15 11S20 11S31 PDF BibTeX XML Cite \textit{L. Berger} and \textit{G. Di Matteo}, Int. J. Number Theory 17, No. 10, 2221--2233 (2021; Zbl 07410930) Full Text: DOI arXiv OpenURL
Lawrence, Brian; Li, Shizhang A counterexample to an optimistic guess about étale local systems. (English) Zbl 1472.14024 C. R., Math., Acad. Sci. Paris 359, No. 8, 923-924 (2021). MSC: 14F30 14G22 11S15 11S20 PDF BibTeX XML Cite \textit{B. Lawrence} and \textit{S. Li}, C. R., Math., Acad. Sci. Paris 359, No. 8, 923--924 (2021; Zbl 1472.14024) Full Text: DOI arXiv OpenURL
Bhatt, Bhargav; Lurie, Jacob; Mathew, Akhil Revisiting the de Rham-Witt complex. (English) Zbl 1478.14038 Astérisque 424. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-937-1/pbk). vii, 165 p. (2021). Reviewer: Dingxin Zhang (Beijing) MSC: 14F30 14F40 14G17 11G25 PDF BibTeX XML Cite \textit{B. Bhatt} et al., Revisiting the de Rham-Witt complex. Paris: Société Mathématique de France (SMF) (2021; Zbl 1478.14038) Full Text: DOI arXiv OpenURL
Yamamoto, Kento On syntomic complexes with modulus for semi-stable reduction cases. (English) Zbl 1484.14042 Tokyo J. Math. 44, No. 1, 175-233 (2021). MSC: 14F30 PDF BibTeX XML Cite \textit{K. Yamamoto}, Tokyo J. Math. 44, No. 1, 175--233 (2021; Zbl 1484.14042) Full Text: DOI arXiv OpenURL
Gabber, Ofer; Vasiu, Adrian Purity for Barsotti-Tate groups in some mixed characteristic situations. (English) Zbl 1479.14059 Algebr. Geom. 8, No. 4, 490-517 (2021). Reviewer: G. K. Sankaran (Bath) MSC: 14L05 11G10 11G18 14F30 14G35 14K10 14K99 14L15 PDF BibTeX XML Cite \textit{O. Gabber} and \textit{A. Vasiu}, Algebr. Geom. 8, No. 4, 490--517 (2021; Zbl 1479.14059) Full Text: DOI arXiv OpenURL
Krishna, Amalendu; Park, Jinhyun De Rham-Witt sheaves via algebraic cycles. (English) Zbl 1477.14015 Compos. Math. 157, No. 10, 2089-2132 (2021). Reviewer: Rahul Gupta (Regensburg) MSC: 14C25 13F35 14F30 19E15 PDF BibTeX XML Cite \textit{A. Krishna} and \textit{J. Park}, Compos. Math. 157, No. 10, 2089--2132 (2021; Zbl 1477.14015) Full Text: DOI arXiv OpenURL
Lazda, Christopher Local acyclicity in \(p\)-adic cohomology. (English) Zbl 07377626 Doc. Math. 26, 981-1044 (2021). Reviewer: Shishir Agrawal (Colorado Springs) MSC: 14F30 14G27 14G22 PDF BibTeX XML Cite \textit{C. Lazda}, Doc. Math. 26, 981--1044 (2021; Zbl 07377626) Full Text: DOI arXiv OpenURL
Kramer-Miller, Joe Slope filtrations of \(F\)-isocrystals and logarithmic decay. (English) Zbl 1475.14044 Math. Res. Lett. 28, No. 1, 107-125 (2021). MSC: 14F30 11F80 PDF BibTeX XML Cite \textit{J. Kramer-Miller}, Math. Res. Lett. 28, No. 1, 107--125 (2021; Zbl 1475.14044) Full Text: DOI OpenURL
Binda, Federico; Krishna, Amalendu Rigidity for relative 0-cycles. (English) Zbl 1467.14020 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 241-267 (2021). MSC: 14C25 13F35 14F30 19E15 PDF BibTeX XML Cite \textit{F. Binda} and \textit{A. Krishna}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 1, 241--267 (2021; Zbl 1467.14020) Full Text: DOI arXiv OpenURL
Barrera, Daniel; Gao, Shan Overconvergent Eichler-Shimura isomorphisms for unitary Shimura curves over totally real fields. (English) Zbl 1475.11081 Isr. J. Math. 242, No. 2, 707-767 (2021). Reviewer: Riccardo Brasca (Paris) MSC: 11F33 11F85 11G18 14F30 PDF BibTeX XML Cite \textit{D. Barrera} and \textit{S. Gao}, Isr. J. Math. 242, No. 2, 707--767 (2021; Zbl 1475.11081) Full Text: DOI OpenURL
Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława Integral \(p\)-adic étale cohomology of Drinfeld symmetric spaces. (English) Zbl 07369837 Duke Math. J. 170, No. 3, 575-613 (2021). MSC: 11G18 14F30 PDF BibTeX XML Cite \textit{P. Colmez} et al., Duke Math. J. 170, No. 3, 575--613 (2021; Zbl 07369837) Full Text: DOI arXiv OpenURL
Brock, Bradley W.; Jordan, Bruce W.; Poonen, Bjorn; Scholl, Anthony J.; Wetherell, Joseph L. Linear independence in linear systems on elliptic curves. (English) Zbl 1479.14038 Comment. Math. Helv. 96, No. 2, 199-213 (2021). Reviewer: Andrea Bandini (Pisa) MSC: 14H52 11G05 14F30 11G40 11F11 14G35 PDF BibTeX XML Cite \textit{B. W. Brock} et al., Comment. Math. Helv. 96, No. 2, 199--213 (2021; Zbl 1479.14038) Full Text: DOI arXiv OpenURL
Ertl, Veronika; Yamada, Kazuki Comparison between rigid and crystalline syntomic cohomology for strictly semistable log schemes with boundary. (English) Zbl 1478.14040 Rend. Semin. Mat. Univ. Padova 145, 213-291 (2021). MSC: 14F30 14G20 14F42 PDF BibTeX XML Cite \textit{V. Ertl} and \textit{K. Yamada}, Rend. Semin. Mat. Univ. Padova 145, 213--291 (2021; Zbl 1478.14040) Full Text: DOI arXiv OpenURL
Mazzari, Nicola On log differentials of local fields. (English) Zbl 1465.14026 Rend. Semin. Mat. Univ. Padova 145, 207-212 (2021). MSC: 14G20 14L05 14F30 11S20 PDF BibTeX XML Cite \textit{N. Mazzari}, Rend. Semin. Mat. Univ. Padova 145, 207--212 (2021; Zbl 1465.14026) Full Text: DOI arXiv OpenURL
Hernandez-Mada, Genaro A monodromy criterion for the good reduction of \(K3\) surfaces. (English) Zbl 1465.14040 Rend. Semin. Mat. Univ. Padova 145, 73-92 (2021). MSC: 14J28 14F30 14F35 11G25 PDF BibTeX XML Cite \textit{G. Hernandez-Mada}, Rend. Semin. Mat. Univ. Padova 145, 73--92 (2021; Zbl 1465.14040) Full Text: DOI arXiv OpenURL
Min, Yu Integral \(p\)-adic Hodge theory of formal schemes in low ramification. (English) Zbl 1478.14041 Algebra Number Theory 15, No. 4, 1043-1076 (2021). MSC: 14F30 PDF BibTeX XML Cite \textit{Y. Min}, Algebra Number Theory 15, No. 4, 1043--1076 (2021; Zbl 1478.14041) Full Text: DOI arXiv OpenURL
Kelly, Shane; Morrow, Matthew \(K\)-theory of valuation rings. (English) Zbl 1467.19003 Compos. Math. 157, No. 6, 1121-1142 (2021). MSC: 19D50 14F30 PDF BibTeX XML Cite \textit{S. Kelly} and \textit{M. Morrow}, Compos. Math. 157, No. 6, 1121--1142 (2021; Zbl 1467.19003) Full Text: DOI arXiv OpenURL
Joshi, Kirti On varieties with trivial tangent bundle in characteristic \(p>0\). (English) Zbl 1462.14023 Nagoya Math. J. 242, 35-51 (2021). MSC: 14F30 14K15 PDF BibTeX XML Cite \textit{K. Joshi}, Nagoya Math. J. 242, 35--51 (2021; Zbl 1462.14023) Full Text: DOI arXiv OpenURL
Olsson, Martin A geometric construction of semistable extensions of crystalline representations. (English) Zbl 1474.14034 Tunis. J. Math. 3, No. 2, 207-257 (2021). MSC: 14F30 14G20 14C30 PDF BibTeX XML Cite \textit{M. Olsson}, Tunis. J. Math. 3, No. 2, 207--257 (2021; Zbl 1474.14034) Full Text: DOI OpenURL
Sheng, Mao; Tong, Jilong A note on Higgs-de Rham flows of level zero. (English) Zbl 1472.14031 Sci. China, Math. 64, No. 2, 307-330 (2021). MSC: 14G17 14F30 14F40 14J60 PDF BibTeX XML Cite \textit{M. Sheng} and \textit{J. Tong}, Sci. China, Math. 64, No. 2, 307--330 (2021; Zbl 1472.14031) Full Text: DOI arXiv OpenURL
Shankar, Ananth N.; Zhou, Rong Serre-Tate theory for Shimura varieties of Hodge type. (English) Zbl 1471.14059 Math. Z. 297, No. 3-4, 1249-1271 (2021). Reviewer: Andrea Marrama (Paris) MSC: 14G35 11G18 14L05 14F30 14K15 11G25 14G20 14K10 PDF BibTeX XML Cite \textit{A. N. Shankar} and \textit{R. Zhou}, Math. Z. 297, No. 3--4, 1249--1271 (2021; Zbl 1471.14059) Full Text: DOI arXiv OpenURL
Caro, Daniel Some elements on Berthelot’s arithmetic \(\mathscr{D}\)-modules. (English) Zbl 1457.14041 Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer. Lect. Notes Math. 2275, 1-28 (2021). MSC: 14F10 14F30 14-01 PDF BibTeX XML Cite \textit{D. Caro}, Lect. Notes Math. 2275, 1--28 (2021; Zbl 1457.14041) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J.-M. Fontaine} and \textit{U. Jannsen}, Doc. Math. 26, 65--101 (2021; Zbl 1469.14041) Full Text: DOI arXiv OpenURL
Tsuzuki, Nobuo Constancy of Newton polygons of \(F\)-isocrystals on abelian varieties and isotriviality of families of curves. (English) Zbl 1467.14060 J. Inst. Math. Jussieu 20, No. 2, 587-625 (2021). MSC: 14F30 14H10 PDF BibTeX XML Cite \textit{N. Tsuzuki}, J. Inst. Math. Jussieu 20, No. 2, 587--625 (2021; Zbl 1467.14060) Full Text: DOI arXiv OpenURL
Kramer-Miller, Joe \(p\)-adic estimates of exponential sums on curves. (English) Zbl 1470.11172 Algebra Number Theory 15, No. 1, 141-171 (2021). MSC: 11G20 14F30 11T23 PDF BibTeX XML Cite \textit{J. Kramer-Miller}, Algebra Number Theory 15, No. 1, 141--171 (2021; Zbl 1470.11172) Full Text: DOI arXiv OpenURL
Narváez Macarro, Luis; Tirado Hernández, María de la Paz On the bracket of integrable derivations. (English) Zbl 1457.13049 J. Algebra 574, 70-91 (2021). MSC: 13N15 14F10 13N10 13B10 14F30 PDF BibTeX XML Cite \textit{L. Narváez Macarro} and \textit{M. de la P. Tirado Hernández}, J. Algebra 574, 70--91 (2021; Zbl 1457.13049) Full Text: DOI arXiv OpenURL
Xie, Bing Yong Derivatives of Frobenius and derivatives of Hodge-Tate weights. (English) Zbl 1466.11089 Acta Math. Sin., Engl. Ser. 37, No. 1, 1-34 (2021). Reviewer: Mouad Moutaoukil (Fès) MSC: 11S25 11F80 14F30 11S37 14G20 PDF BibTeX XML Cite \textit{B. Y. Xie}, Acta Math. Sin., Engl. Ser. 37, No. 1, 1--34 (2021; Zbl 1466.11089) Full Text: DOI arXiv OpenURL
Caro, Daniel On the preservation of coherence by extraordinary reverse image of a closed immersion. (Sur la préservation de la cohérence par image inverse extraordinaire d’une immersion fermée.) (French. English summary) Zbl 1467.14059 Nagoya Math. J. 241, 125-170 (2021). MSC: 14F30 14F10 PDF BibTeX XML Cite \textit{D. Caro}, Nagoya Math. J. 241, 125--170 (2021; Zbl 1467.14059) Full Text: DOI arXiv OpenURL
Antieau, Benjamin; Nikolaus, Thomas Cartier modules and cyclotomic spectra. (English) Zbl 1467.14058 J. Am. Math. Soc. 34, No. 1, 1-78 (2021). MSC: 14F30 14L05 13D03 PDF BibTeX XML Cite \textit{B. Antieau} and \textit{T. Nikolaus}, J. Am. Math. Soc. 34, No. 1, 1--78 (2021; Zbl 1467.14058) Full Text: DOI arXiv OpenURL
Bragg, Daniel Derived equivalences of twisted supersingular \(K3\) surfaces. (English) Zbl 1467.14050 Adv. Math. 378, Article ID 107498, 46 p. (2021). MSC: 14F08 14J28 14F30 PDF BibTeX XML Cite \textit{D. Bragg}, Adv. Math. 378, Article ID 107498, 46 p. (2021; Zbl 1467.14050) Full Text: DOI arXiv OpenURL
Bresciani, Giulio Some implications between Grothendieck’s anabelian conjectures. (English) Zbl 1468.14046 Algebr. Geom. 8, No. 2, 231-267 (2021). MSC: 14F35 14F30 11G35 14A20 PDF BibTeX XML Cite \textit{G. Bresciani}, Algebr. Geom. 8, No. 2, 231--267 (2021; Zbl 1468.14046) Full Text: DOI arXiv OpenURL
Hedayatzadeh, S. Mohammad Hadi Explicit isomorphism between Cartier and Dieudonné modules. (English) Zbl 1462.14048 J. Algebra 570, 611-635 (2021). MSC: 14L05 14L15 14G17 14F30 11S23 PDF BibTeX XML Cite \textit{S. M. H. Hedayatzadeh}, J. Algebra 570, 611--635 (2021; Zbl 1462.14048) Full Text: DOI OpenURL
Ding, Zeyu; Xiao, Xiao Dimensions of automorphism group schemes of finite level truncations of \(F\)-cyclic \(F\)-crystals. (English) Zbl 1462.14049 Trans. Am. Math. Soc. 374, No. 1, 269-302 (2021). MSC: 14L15 14F30 PDF BibTeX XML Cite \textit{Z. Ding} and \textit{X. Xiao}, Trans. Am. Math. Soc. 374, No. 1, 269--302 (2021; Zbl 1462.14049) Full Text: DOI arXiv OpenURL
Pierrot, Amandine Computation of the divided Frobenius modulo \(p\) on the crystalline cohomology of certain covers of the projective line. (Calcul du Frobenius divisé modulo \(p\) sur la cohomologie cristalline de certains revêtements de la droite projective.) (French. English summary) Zbl 1472.14028 Algèbre et théorie des nombres 2018. Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2020, 61-103 (2020). MSC: 14F40 11S23 14F30 PDF BibTeX XML Cite \textit{A. Pierrot}, Publ. Math. Besançon, Algèbre Théor. Nombres 2020, 61--103 (2020; Zbl 1472.14028) Full Text: Link OpenURL
Belabas, Karim; Bernardi, Dominique; Perrin-Riou, Bernadette Fundamental polygons of modular curves. (Polygones fondamentaux d’une courbe modulaire.) (French. English summary) Zbl 1473.11131 Algèbre et théorie des nombres 2018. Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2020, 27-59 (2020). MSC: 11G18 14F30 14G20 PDF BibTeX XML Cite \textit{K. Belabas} et al., Publ. Math. Besançon, Algèbre Théor. Nombres 2020, 27--59 (2020; Zbl 1473.11131) Full Text: Link OpenURL
Algebra and number theory 2018. (Algèbre et théorie des nombres 2018.) (French) Zbl 1471.11005 Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres 2020. Besançon: Presses Universitaires de Franche-Comté. 103 p., open access (2020). MSC: 11-06 13-06 14-06 11Exx 11G18 13A35 14F30 14G20 PDF BibTeX XML Cite Algèbre et théorie des nombres 2018. Besançon: Presses Universitaires de Franche-Comté (2020; Zbl 1471.11005) Full Text: Link OpenURL
He, Tongmu Faltings extension and Hodge-Tate filtration for abelian varieties over \(p\)-adic local fields with imperfect residue fields. (English) Zbl 1471.14047 Can. Math. Bull. 64, No. 2, 247-263 (2021). MSC: 14F30 14G20 14K15 PDF BibTeX XML Cite \textit{T. He}, Can. Math. Bull. 64, No. 2, 247--263 (2020; Zbl 1471.14047) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Cadoret}, Astérisque 422, 173--223, Exp. No. 1155 (2020; Zbl 1466.14023) Full Text: DOI OpenURL
Sakagaito, Makoto On a generalized Brauer group in mixed characteristic cases. (English) Zbl 1473.14039 J. Math. Sci., Tokyo 27, No. 1, 29-64 (2020). MSC: 14F30 14F22 14G45 PDF BibTeX XML Cite \textit{M. Sakagaito}, J. Math. Sci., Tokyo 27, No. 1, 29--64 (2020; Zbl 1473.14039) Full Text: arXiv Link OpenURL
Hatada, Kazuyuki Hecke operators and systems of eigenvalues on Siegel cusp forms. (English) Zbl 07363184 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). MSC: 11-02 11F46 11F60 11F32 11F11 11G25 14G22 14F30 14F20 11F70 PDF BibTeX XML Cite \textit{K. Hatada}, Hecke operators and systems of eigenvalues on Siegel cusp forms. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 07363184) Full Text: DOI OpenURL
Fried, Michael D. Diophantine statements over residue fields: Galois stratification and uniformity. (English) Zbl 1469.11210 Davis, James A. (ed.), Finite fields and their applications. Proceedings of the 14th international conference on finite fields and their applications (Fq14), Vancouver, Canada, June 3–7, 2019. Berlin: De Gruyter. De Gruyter Proc. Math., 103-132 (2020). MSC: 11G25 11D72 14F30 14G32 PDF BibTeX XML Cite \textit{M. D. Fried}, in: Finite fields and their applications. Proceedings of the 14th international conference on finite fields and their applications (Fq14), Vancouver, Canada, June 3--7, 2019. Berlin: De Gruyter. 103--132 (2020; Zbl 1469.11210) Full Text: DOI OpenURL
Mebkhout, Zoghman On the monodromy theorem for the family of \(p\)-adic differential equations. (Sur le théorème de la monodromie pour une famille d’équations différentielles \(p\)-adiques.) (French. English summary) Zbl 1472.14025 Bull. Soc. Math. Fr. 148, No. 4, 651-708 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F30 14D05 11S20 11S80 12H25 PDF BibTeX XML Cite \textit{Z. Mebkhout}, Bull. Soc. Math. Fr. 148, No. 4, 651--708 (2020; Zbl 1472.14025) Full Text: DOI OpenURL
Joshi, Kirti Crystalline aspects of geography of low dimensional varieties. I: Numerology. (English) Zbl 07335100 Eur. J. Math. 6, No. 4, 1111-1175 (2020). MSC: 14F30 14J20 14J25 14J28 14J29 14J30 14J32 14J70 14G17 PDF BibTeX XML Cite \textit{K. Joshi}, Eur. J. Math. 6, No. 4, 1111--1175 (2020; Zbl 07335100) Full Text: DOI arXiv OpenURL
Esnault, Hélène; Groechenig, Michael Rigid connections and \(F\)-isocrystals. (English) Zbl 07335068 Acta Math. 225, No. 1, 103-158 (2020). MSC: 14F30 14G22 14H60 34Mxx PDF BibTeX XML Cite \textit{H. Esnault} and \textit{M. Groechenig}, Acta Math. 225, No. 1, 103--158 (2020; Zbl 07335068) Full Text: DOI arXiv OpenURL
Tran, Ngoc Mai Tropical Gaussians: a brief survey. (English) Zbl 1461.62232 Algebr. Stat. 11, No. 2, 155-168 (2020). MSC: 62R01 60E05 14F30 14T90 PDF BibTeX XML Cite \textit{N. M. Tran}, Algebr. Stat. 11, No. 2, 155--168 (2020; Zbl 1461.62232) Full Text: DOI arXiv OpenURL
Balchin, Scott; Neumann, Frank On the number of rational points of classifying stacks for Chevalley group schemes. (English) Zbl 1457.14100 Neumann, Frank (ed.) et al., Galois covers, Grothendieck-Teichmüller theory and dessins d’enfants. Interactions between geometry, topology, number theory and algebra. Proceedings from the London Mathematical Society Midlands regional meeting and workshop, Leicester, UK, June 4–7, 2018. Cham: Springer. Springer Proc. Math. Stat. 330, 9-30 (2020). MSC: 14L15 14F30 PDF BibTeX XML Cite \textit{S. Balchin} and \textit{F. Neumann}, Springer Proc. Math. Stat. 330, 9--30 (2020; Zbl 1457.14100) Full Text: DOI arXiv OpenURL
Iyengar, Ashwin Deformation theory of the trivial mod \(p\) Galois representation for \(\mathrm{GL}_n\). (English) Zbl 1469.11158 Int. Math. Res. Not. 2020, No. 22, 8896-8935 (2020). MSC: 11F80 11S37 14F30 PDF BibTeX XML Cite \textit{A. Iyengar}, Int. Math. Res. Not. 2020, No. 22, 8896--8935 (2020; Zbl 1469.11158) Full Text: DOI arXiv OpenURL
Vonk, Jan Crystalline cohomology of towers of curves. (English) Zbl 1457.14048 Int. Math. Res. Not. 2020, No. 21, 7454-7488 (2020). MSC: 14F30 14F40 11G18 PDF BibTeX XML Cite \textit{J. Vonk}, Int. Math. Res. Not. 2020, No. 21, 7454--7488 (2020; Zbl 1457.14048) Full Text: DOI Link OpenURL
Bocardo-Gaspar, M.; Veys, Willem; Zúñiga-Galindo, W. A. Meromorphic continuation of Koba-Nielsen string amplitudes. (English) Zbl 1454.83125 J. High Energy Phys. 2020, No. 9, Paper No. 138, 43 p. (2020). MSC: 83E30 81T30 81V73 14F30 PDF BibTeX XML Cite \textit{M. Bocardo-Gaspar} et al., J. High Energy Phys. 2020, No. 9, Paper No. 138, 43 p. (2020; Zbl 1454.83125) Full Text: DOI arXiv OpenURL
Kashio, Tomokazu A period-ring-valued gamma function and a refinement of the reciprocity law on Stark units. (English) Zbl 1461.11150 RIMS Kôkyûroku Bessatsu B83, 169-181 (2020). MSC: 11R27 11R42 14F30 14K22 PDF BibTeX XML Cite \textit{T. Kashio}, RIMS Kôkyûroku Bessatsu B83, 169--181 (2020; Zbl 1461.11150) Full Text: Link OpenURL
Ertl, Veronika; Shiho, Atsushi On infiniteness of integral overconvergent de Rham-Witt cohomology modulo torsion. (English) Zbl 1469.14044 Tohoku Math. J. (2) 72, No. 3, 395-410 (2020). Reviewer: Rubén Muñoz-Bertrand (Caen) MSC: 14F30 14F40 14H50 PDF BibTeX XML Cite \textit{V. Ertl} and \textit{A. Shiho}, Tohoku Math. J. (2) 72, No. 3, 395--410 (2020; Zbl 1469.14044) Full Text: DOI arXiv Euclid OpenURL
André, Yves Erratum to: “Slope filtrations”. (English) Zbl 1472.14022 Confluentes Math. 12, No. 1, 147-148 (2020). MSC: 14F30 11G25 12H25 14G22 PDF BibTeX XML Cite \textit{Y. André}, Confluentes Math. 12, No. 1, 147--148 (2020; Zbl 1472.14022) Full Text: DOI OpenURL
Hesselholt, Lars; Nikolaus, Thomas Topological cyclic homology. (English) Zbl 1473.14038 Miller, Haynes (ed.), Handbook of homotopy theory. Boca Raton, FL: CRC Press. CRC Press/Chapman Hall Handb. Math. Ser., 619-656 (2020). MSC: 14F30 19D50 19D55 55R45 PDF BibTeX XML Cite \textit{L. Hesselholt} and \textit{T. Nikolaus}, in: Handbook of homotopy theory. Boca Raton, FL: CRC Press. 619--656 (2020; Zbl 1473.14038) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{R. van Dobben de Bruyn}, Épijournal de Géom. Algébr., EPIGA 4, Article 16, 27 p. (2020; Zbl 1460.14053) Full Text: arXiv OpenURL
Vanhaecke, Arnaud The Dieudonné crystal of \(\mathbb{F}\)-vector schemes. (Le cristal de Dieudonné des schémas en \(\mathbb{F}\)-vectoriels.) (French. English summary) Zbl 1460.14097 Bull. Soc. Math. Fr. 148, No. 3, 439-465 (2020). MSC: 14L05 14L15 14F30 20G05 PDF BibTeX XML Cite \textit{A. Vanhaecke}, Bull. Soc. Math. Fr. 148, No. 3, 439--465 (2020; Zbl 1460.14097) Full Text: DOI arXiv OpenURL
Nizioł, Wiesława On uniqueness of \(p\)-adic period morphisms. II. (English) Zbl 1462.14024 Compos. Math. 156, No. 9, 1915-1964 (2020). Reviewer: Alexander Petrov (Cambridge) MSC: 14F30 11F80 14F40 14F42 PDF BibTeX XML Cite \textit{W. Nizioł}, Compos. Math. 156, No. 9, 1915--1964 (2020; Zbl 1462.14024) Full Text: DOI OpenURL
Fargues, Laurent \(G\)-torsors in \(p\)-adic Hodge theory. (\(G\)-torseurs en théorie de Hodge \(p\)-adique.) (French. English summary) Zbl 1469.11455 Compos. Math. 156, No. 10, 2076-2110 (2020). MSC: 11S31 14F30 14L05 14L24 PDF BibTeX XML Cite \textit{L. Fargues}, Compos. Math. 156, No. 10, 2076--2110 (2020; Zbl 1469.11455) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{O. Braunling}, Trans. Am. Math. Soc. 373, No. 11, 8197--8217 (2020; Zbl 1466.19004) Full Text: DOI OpenURL
Hansen, David; Li, Shizhang Line bundles on rigid varieties and Hodge symmetry. (English) Zbl 1450.14007 Math. Z. 296, No. 3-4, 1777-1786 (2020). MSC: 14G22 14G20 14F30 14C30 14K30 PDF BibTeX XML Cite \textit{D. Hansen} and \textit{S. Li}, Math. Z. 296, No. 3--4, 1777--1786 (2020; Zbl 1450.14007) Full Text: DOI arXiv OpenURL