Phùng Hô Hai; Dos Santos, João Pedro Regular-singular connections on relative complex schemes. (English) Zbl 07771784 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 3, 1327-1366 (2023). MSC: 14F10 32C15 35Q15 14L15 PDFBibTeX XMLCite \textit{Phùng Hô Hai} and \textit{J. P. Dos Santos}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 3, 1327--1366 (2023; Zbl 07771784) Full Text: DOI arXiv
Casale, Guy; Davy, Damien Specialisation of the Galois groupoid of a vector field. (Spécialisation du groupoïde de Galois d’un champ de vecteurs.) (French. English summary) Zbl 1507.12006 Ann. Inst. Fourier 72, No. 6, 2399-2447 (2022). Reviewer: Thomas Dreyfus (Paris) MSC: 12H05 34M55 PDFBibTeX XMLCite \textit{G. Casale} and \textit{D. Davy}, Ann. Inst. Fourier 72, No. 6, 2399--2447 (2022; Zbl 1507.12006) Full Text: DOI arXiv
Di Vizio, Lucia; Hardouin, Charlotte; Granier, Anne Intrinsic approach to Galois theory of \(q\)-difference equations. (English) Zbl 1503.39001 Memoirs of the American Mathematical Society 1376. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5384-8/pbk; 978-1-4704-7230-6/ebook). v, 70 p. (2022). MSC: 39-02 39A13 12H10 PDFBibTeX XMLCite \textit{L. Di Vizio} et al., Intrinsic approach to Galois theory of \(q\)-difference equations. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1503.39001) Full Text: DOI
Chen, Xiaojun; Eshmatov, Alimjon; Eshmatov, Farkhod; Liu, Leilei Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras. (English) Zbl 1506.16013 Sel. Math., New Ser. 28, No. 3, Paper No. 62, 33 p. (2022). Reviewer: Yining Zhang (Singapore) MSC: 16E45 16G30 18G10 14A22 PDFBibTeX XMLCite \textit{X. Chen} et al., Sel. Math., New Ser. 28, No. 3, Paper No. 62, 33 p. (2022; Zbl 1506.16013) Full Text: DOI arXiv
Hai, Phùng Hô; dos Santos, João Pedro On the structure of affine flat group schemes over discrete valuation rings. II. (English) Zbl 1487.14048 Int. Math. Res. Not. 2021, No. 12, 9375-9424 (2021). MSC: 14F10 14L15 20G35 PDFBibTeX XMLCite \textit{P. H. Hai} and \textit{J. P. dos Santos}, Int. Math. Res. Not. 2021, No. 12, 9375--9424 (2021; Zbl 1487.14048) Full Text: DOI arXiv
Adamczewski, Boris; Dreyfus, Thomas; Hardouin, Charlotte Hypertranscendence and linear difference equations. (English) Zbl 1479.39004 J. Am. Math. Soc. 34, No. 2, 475-503 (2021). MSC: 39A13 39A70 39A06 12H05 12H10 34M15 39A12 PDFBibTeX XMLCite \textit{B. Adamczewski} et al., J. Am. Math. Soc. 34, No. 2, 475--503 (2021; Zbl 1479.39004) Full Text: DOI arXiv
Bachmayr, Annette; Harbater, David; Hartmann, Julia; Pop, Florian Large fields in differential Galois theory. (English) Zbl 1481.12007 J. Inst. Math. Jussieu 20, No. 6, 1931-1946 (2021). Reviewer: Andreas Maurischat (Aachen) MSC: 12H05 12E30 20G15 12F12 14H25 PDFBibTeX XMLCite \textit{A. Bachmayr} et al., J. Inst. Math. Jussieu 20, No. 6, 1931--1946 (2021; Zbl 1481.12007) Full Text: DOI arXiv
Chaudhuri, Dishari The twisted derivation problem for group rings. (English) Zbl 1473.16020 Arch. Math. 116, No. 4, 391-401 (2021). Reviewer: Peter Danchev (Sofia) MSC: 16S34 16W25 PDFBibTeX XMLCite \textit{D. Chaudhuri}, Arch. Math. 116, No. 4, 391--401 (2021; Zbl 1473.16020) Full Text: DOI arXiv
Di Vizio, Lucia; Hardouin, Charlotte Galois theories of \(q\)-difference equations: comparison theorems. (English) Zbl 1467.39005 Confluentes Math. 12, No. 2, 11-35 (2021). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 39A13 12H10 11R32 11S20 PDFBibTeX XMLCite \textit{L. Di Vizio} and \textit{C. Hardouin}, Confluentes Math. 12, No. 2, 11--35 (2021; Zbl 1467.39005) Full Text: DOI arXiv
Masuoka, Akira; Saito, Katsunori; Umemura, Hiroshi Toward quantization of Galois theory. (English. French summary) Zbl 1468.12006 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1319-1431 (2021). MSC: 12H20 12-02 16T05 12H05 PDFBibTeX XMLCite \textit{A. Masuoka} et al., Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1319--1431 (2021; Zbl 1468.12006) Full Text: DOI arXiv
Ramis, Jean-Pierre Hiroshi Umemura and French mathematics. (Hiroshi Umemura et les mathématiques françaises.) (French. English summary) Zbl 1487.01020 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1007-1052 (2021). Reviewer: Robert W. van der Waall (Huizen) MSC: 01A60 12-03 34-03 01A55 PDFBibTeX XMLCite \textit{J.-P. Ramis}, Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1007--1052 (2021; Zbl 1487.01020) Full Text: DOI
Auroux, Denis; Smith, Ivan Fukaya categories of surfaces, spherical objects and mapping class groups. (English) Zbl 1471.53070 Forum Math. Sigma 9, Paper No. e26, 50 p. (2021). Reviewer: Jun Zhang (Montréal) MSC: 53D37 57K20 PDFBibTeX XMLCite \textit{D. Auroux} and \textit{I. Smith}, Forum Math. Sigma 9, Paper No. e26, 50 p. (2021; Zbl 1471.53070) Full Text: DOI arXiv
Nagy, Levente; Szamuely, Tamás A general theory of André’s solution algebras. (Une théorie générale des algèbres de solutions d’André.) (English. French summary) Zbl 1476.12006 Ann. Inst. Fourier 70, No. 5, 2103-2129 (2020). Reviewer: Andreas Maurischat (Aachen) MSC: 12H05 12H10 11J81 13B05 PDFBibTeX XMLCite \textit{L. Nagy} and \textit{T. Szamuely}, Ann. Inst. Fourier 70, No. 5, 2103--2129 (2020; Zbl 1476.12006) Full Text: DOI arXiv
Crespo, Teresa; Hajto, Zbigniew Picard-Vessiot extensions of real differential fields. (English) Zbl 1447.12004 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 13B05 14P05 12D15 PDFBibTeX XMLCite \textit{T. Crespo} and \textit{Z. Hajto}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 100, 11 p. (2019; Zbl 1447.12004) Full Text: DOI
Le Stum, Bernard; Quirós, Adolfo Twisted calculus. (English) Zbl 1414.16024 Commun. Algebra 46, No. 12, 5290-5319 (2018). MSC: 16S32 05A30 13N10 PDFBibTeX XMLCite \textit{B. Le Stum} and \textit{A. Quirós}, Commun. Algebra 46, No. 12, 5290--5319 (2018; Zbl 1414.16024) Full Text: DOI arXiv HAL
Bachmayr, Annette; Harbater, David; Hartmann, Julia Differential embedding problems over Laurent series fields. (English) Zbl 1431.12004 J. Algebra 513, 99-112 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 20G15 12F12 13F25 14H25 PDFBibTeX XMLCite \textit{A. Bachmayr} et al., J. Algebra 513, 99--112 (2018; Zbl 1431.12004) Full Text: DOI arXiv
Nguyen Dai Duong; Phùng Hô Hai Tannakian duality over Dedekind rings and applications. (English) Zbl 1400.14121 Math. Z. 288, No. 3-4, 1103-1142 (2018). Reviewer: Andreas Maurischat (Heidelberg) MSC: 14L17 14F10 PDFBibTeX XMLCite \textit{Nguyen Dai Duong} and \textit{Phùng Hô Hai}, Math. Z. 288, No. 3--4, 1103--1142 (2018; Zbl 1400.14121) Full Text: DOI arXiv
Le Stum, Bernard; Quirós, Adolfo Formal confluence of quantum differential operators. (English) Zbl 1414.12014 Pac. J. Math. 292, No. 2, 427-478 (2018). MSC: 12H10 PDFBibTeX XMLCite \textit{B. Le Stum} and \textit{A. Quirós}, Pac. J. Math. 292, No. 2, 427--478 (2018; Zbl 1414.12014) Full Text: DOI arXiv Link
Scholze, Peter Canonical \(q\)-deformations in arithmetic geometry. (English. French summary) Zbl 1461.14031 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 5, 1163-1192 (2017). Reviewer: Caterina Consani (Baltimore) MSC: 14G40 14F40 14G20 PDFBibTeX XMLCite \textit{P. Scholze}, Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 5, 1163--1192 (2017; Zbl 1461.14031) Full Text: DOI arXiv
Maurischat, Andreas A categorical approach to Picard-Vessiot theory. (English) Zbl 1388.13022 Theory Appl. Categ. 32, 488-525 (2017). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 13B05 18D10 12H20 PDFBibTeX XMLCite \textit{A. Maurischat}, Theory Appl. Categ. 32, 488--525 (2017; Zbl 1388.13022) Full Text: arXiv EMIS
Larsson, Daniel Equivariant hom-Lie algebras and twisted derivations on (arithmetic) schemes. (English) Zbl 1418.17067 J. Number Theory 176, 249-278 (2017). MSC: 17B99 12H10 14L15 PDFBibTeX XMLCite \textit{D. Larsson}, J. Number Theory 176, 249--278 (2017; Zbl 1418.17067) Full Text: DOI
Bachmayr, Annette; Harbater, David; Hartmann, Julia Differential Galois groups over Laurent series fields. (English) Zbl 1348.12003 Proc. Lond. Math. Soc. (3) 112, No. 3, 455-476 (2016). Reviewer: Andreas Maurischat (Heidelberg) MSC: 12H05 20G15 34M50 PDFBibTeX XMLCite \textit{A. Bachmayr} et al., Proc. Lond. Math. Soc. (3) 112, No. 3, 455--476 (2016; Zbl 1348.12003) Full Text: DOI arXiv
Antieau, Benjamin; Ovchinnikov, Alexey; Trushin, Dmitry Galois theory of difference equations with periodic parameters. (English) Zbl 1338.12007 Commun. Algebra 42, No. 9, 3902-3943 (2014). MSC: 12H10 39A13 PDFBibTeX XMLCite \textit{B. Antieau} et al., Commun. Algebra 42, No. 9, 3902--3943 (2014; Zbl 1338.12007) Full Text: DOI arXiv
Masuoka, Akira; Yanagawa, Makoto \(\times{_R}\)-bialgebras associated with iterative \(q\)-difference rings. (English) Zbl 1298.12005 Int. J. Math. 24, No. 4, Article ID 1350030, 27 p. (2013). MSC: 12H05 12H10 16T05 PDFBibTeX XMLCite \textit{A. Masuoka} and \textit{M. Yanagawa}, Int. J. Math. 24, No. 4, Article ID 1350030, 27 p. (2013; Zbl 1298.12005) Full Text: DOI arXiv
Roques, Julien On classical irregular \(q\)-difference equations. (English) Zbl 1259.39008 Compos. Math. 148, No. 5, 1624-1644 (2012). MSC: 39A13 33D15 PDFBibTeX XMLCite \textit{J. Roques}, Compos. Math. 148, No. 5, 1624--1644 (2012; Zbl 1259.39008) Full Text: DOI
Rains, Eric M. Elliptic Littlewood identities. (English) Zbl 1263.33011 J. Comb. Theory, Ser. A 119, No. 7, 1558-1609 (2012). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33E05 33D52 33D80 PDFBibTeX XMLCite \textit{E. M. Rains}, J. Comb. Theory, Ser. A 119, No. 7, 1558--1609 (2012; Zbl 1263.33011) Full Text: DOI arXiv
Moreno, Javier Iterative differential Galois theory in positive characteristic: a model theoretic approach. (English) Zbl 1225.03041 J. Symb. Log. 76, No. 1, 125-142 (2011). MSC: 03C60 12H05 PDFBibTeX XMLCite \textit{J. Moreno}, J. Symb. Log. 76, No. 1, 125--142 (2011; Zbl 1225.03041) Full Text: DOI arXiv Link
Maurischat, Andreas Galois theory for iterative connections and nonreduced Galois groups. (English) Zbl 1250.13009 Trans. Am. Math. Soc. 362, No. 10, 5411-5453 (2010). Reviewer: Florian Heiderich (Paris) MSC: 13B05 13N15 13C60 13N05 12H20 12F15 PDFBibTeX XMLCite \textit{A. Maurischat}, Trans. Am. Math. Soc. 362, No. 10, 5411--5453 (2010; Zbl 1250.13009) Full Text: DOI arXiv
Amano, Katsutoshi; Masuoka, Akira; Takeuchi, Mitsuhiro Hopf algebraic approach to Picard-Vessiot theory. (English) Zbl 1218.12003 Hazewinkel, M. (ed.), Handbook of algebra. Volume 6. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53257-2/hbk). Handbook of Algebra 6, 127-171 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 12H20 12-02 16T05 12H05 PDFBibTeX XMLCite \textit{K. Amano} et al., Handb. Algebra 6, 127--171 (2009; Zbl 1218.12003) Full Text: DOI
Kisin, Mark Crystalline representations and \(F\)-crystals. (English) Zbl 1184.11052 Ginzburg, Victor (ed.), Algebraic geometry and number theory. In Honor of Vladimir Drinfeld’s 50th birthday. Basel: Birkhäuser (ISBN 978-0-8176-4471-0/hbk). Progress in Mathematics 253, 457-496 (2006). MSC: 11S20 14F30 PDFBibTeX XMLCite \textit{M. Kisin}, Prog. Math. 253, 457--496 (2006; Zbl 1184.11052) Full Text: DOI
Amano, Katsutoshi; Masuoka, Akira Picard-Vessiot extensions of Artinian simple module algebras. (English) Zbl 1107.16037 J. Algebra 285, No. 2, 743-767 (2005). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 16T05 12H05 12H10 34M55 PDFBibTeX XMLCite \textit{K. Amano} and \textit{A. Masuoka}, J. Algebra 285, No. 2, 743--767 (2005; Zbl 1107.16037) Full Text: DOI
Sauloy, Jacques Galois theory of Fuchsian \(q\)-difference equations. (English) Zbl 1053.39033 Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 925-968 (2003). Reviewer: Lothar Berg (Rostock) MSC: 12H10 39A13 32G34 39A05 PDFBibTeX XMLCite \textit{J. Sauloy}, Ann. Sci. Éc. Norm. Supér. (4) 36, No. 6, 925--968 (2003; Zbl 1053.39033) Full Text: DOI arXiv Numdam EuDML