Gao, Hui On \(p\)-adic Simpson and Riemann-Hilbert correspondences in the imperfect residue field case. (English) Zbl 07959103 Trans. Am. Math. Soc. 378, No. 1, 279-315 (2025). MSC: 11F80 11S20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sauloy, Jacques Basic modern theory of linear complex analytic \(q\)-difference equations. (English) Zbl 07913510 Mathematical Surveys and Monographs 287. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7840-7/pbk; 978-1-4704-7892-6/ebook). xxv, 664 p. (2024). MSC: 39-01 39Axx 39B32 12H10 12H05 11R32 11S20 05A30 × Cite Format Result Cite Review PDF Full Text: DOI
Paul, Emmanuel; Ramis, Jean-Pierre Dynamics of the fifth Painlevé foliation. (English) Zbl 07913004 Cano, Felipe (ed.) et al., Handbook of geometry and topology of singularities VI: foliations. Cham: Springer. 307-381 (2024). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 37J65 37F34 34M55 34M56 34M50 18B40 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Loray, Frank The Riemann-Hilbert correspondence for rank 2 meromorphic connections on curves. (English) Zbl 07913003 Cano, Felipe (ed.) et al., Handbook of geometry and topology of singularities VI: foliations. Cham: Springer. 267-305 (2024). MSC: 30-01 30F99 × Cite Format Result Cite Review PDF Full Text: DOI
Simpson, Carlos T. Twistor space for local systems on an open curve. (English) Zbl 07881697 Int. J. Math. 35, No. 9, Article ID 2441013, 22 p. (2024). Reviewer: Georgios Kydonakis (Pátra) MSC: 14D21 14F35 22A22 32J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bischoff, Francis Lie groupoids and logarithmic connections. (English) Zbl 1548.53025 Sel. Math., New Ser. 30, No. 3, Paper No. 44, 34 p. (2024). Reviewer: Liviu Popescu (Craiova) MSC: 53C07 53D17 35Q15 22A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loray, Frank Geometry of Painlevé equations. Paper from the 34th Brazilian mathematics colloquium – 34° Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, Juli 2023. (English) Zbl 07823968 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0537-2/print; 978-85-244-0538-9/ebook). 100 p., open access (2023). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34-02 34M55 34M56 34M03 53C05 34Axx 32M25 37F75 × Cite Format Result Cite Review PDF Full Text: Link
Bhatt, Bhargav Algebraic geometry in mixed characteristic. (English) Zbl 1532.14049 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 2. Plenary lectures. Berlin: European Mathematical Society (EMS). 712-748 (2023). MSC: 14G45 14F30 14F17 11G25 11S70 19F99 13D99 14-02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
Phùng Hô Hai; Dos Santos, João Pedro Regular-singular connections on relative complex schemes. (English) Zbl 1540.14043 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 24, No. 3, 1327-1366 (2023). Reviewer: Arnaud Mayeux (Jerusalem) MSC: 14F10 32C15 35Q15 14L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Špenko, Špela HMS symmetries and hypergeometric systems. (English) Zbl 1523.14036 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 489-510 (2023). MSC: 14F08 14J33 13A50 53D37 32S45 16S38 14F06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Agnolo, Andrea; Kashiwara, Masaki Enhanced nearby and vanishing cycles in dimension one and Fourier transform. (English) Zbl 1527.32008 Publ. Res. Inst. Math. Sci. 59, No. 3, 543-570 (2023). MSC: 32C38 32S40 × 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
Olano, Sebastián Weighted Hodge ideals of reduced divisors. (English) Zbl 1523.14065 Forum Math. Sigma 11, Paper No. e51, 28 p. (2023). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14J17 32S25 14F10 14F17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ito, Yohei Note on algebraic irregular Riemann-Hilbert correspondence. (English) Zbl 1517.32019 Rend. Semin. Mat. Univ. Padova 149, 45-81 (2023). MSC: 32C38 14F10 32S60 35A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Petrov, Alexander Geometrically irreducible \(p\)-adic local systems are de Rham up to a twist. (English) Zbl 1523.14018 Duke Math. J. 172, No. 5, 963-994 (2023). MSC: 14D10 11F80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Budur, Nero; Wang, Botong Correction to: “Absolute sets and the decomposition theorem”. (English. French summary) Zbl 1499.14031 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 5, 1473-1474 (2022). MSC: 14F08 14D20 18F25 18G80 14F10 14F45 32C38 14D05 × Cite Format Result Cite Review PDF Full Text: DOI
Odoi, Ryosuke Symplectic aspects of the \(\mathrm{tt}^\ast\)-Toda equations. (English) Zbl 1505.37083 J. Phys. A, Math. Theor. 55, No. 16, Article ID 165201, 12 p. (2022). MSC: 37K10 37K40 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mochizuki, Takuro Curve test for enhanced ind-sheaves and holonomic \(D\)-modules. II. (English. French summary) Zbl 1545.14028 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 3, 681-738 (2022). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 32C38 14F06 × Cite Format Result Cite Review PDF Full Text: DOI
Mochizuki, Takuro Curve test for enhanced ind-sheaves and holonomic \(D\)-modules. I. (English. French summary) Zbl 1516.14041 Ann. Sci. Éc. Norm. Supér. (4) 55, No. 3, 575-679 (2022). Reviewer: Teresa Monteiro Fernandes (Lisboa) MSC: 14F10 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Takhtajan, Leon A. Goldman form, flat connections and stable vector bundles. (English) Zbl 1502.14032 Enseign. Math. (2) 68, No. 3-4, 409-440 (2022). Reviewer: Camilla Felisetti (Modena) MSC: 14D20 32G13 53D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lerer, Leonardo A. Cohomology jump loci and absolute sets for singular varieties. (English) Zbl 1494.14019 Adv. Math. 399, Article ID 108269, 29 p. (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F35 14F45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Langer, Adrian On smooth projective D-affine varieties. (English) Zbl 1499.14035 Int. Math. Res. Not. 2021, No. 15, 11889-11922 (2021). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14F10 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fiorot, Luisa; Fernandes, Teresa Monteiro; Sabbah, Claude Relative regular Riemann-Hilbert correspondence. (English) Zbl 1473.14037 Proc. Lond. Math. Soc. (3) 122, No. 3, 434-457 (2021); corrigendum ibid. 123, No. 6, 649-654 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 14D05 32C38 35A27 58J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ohyama, Yousuke; Ramis, Jean-Pierre; Sauloy, Jacques The space of monodromy data for the Jimbo-Sakai family of \(q\)-difference equations. (English. French summary) Zbl 1480.81075 Ann. Fac. Sci. Toulouse, Math. (6) 29, No. 5, 1119-1250 (2021). Reviewer: Nicolás Andruskiewitsch (Córdoba) MSC: 39A13 34M55 34M56 34M55 81R50 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Agnolo, Andrea; Kashiwara, Masaki Enhanced specialization and microlocalization. (English) Zbl 1458.32010 Sel. Math., New Ser. 27, No. 1, Paper No. 7, 33 p. (2021). MSC: 32C38 35A27 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Agnolo, Andrea; Kashiwara, Masaki On a topological counterpart of regularization for holonomic \(\mathscr{D}\)-modules. (Sur un analogue topologique de la régularisation pour les \(\mathscr{D}\)-modules holonomes.) (English. French summary) Zbl 1460.32008 J. Éc. Polytech., Math. 8, 27-55 (2021). MSC: 32C38 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ito, Katsushi; Shu, Hongfei TBA equations for the Schrödinger equation with a regular singularity. (English) Zbl 1519.81215 J. Phys. A, Math. Theor. 53, No. 33, Article ID 335201, 31 p. (2020). MSC: 81Q20 81S08 82B23 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Viña, Andrés Flat gauge fields and the Riemann-Hilbert correspondence. (English) Zbl 1474.53331 Rep. Math. Phys. 86, No. 2, 187-208 (2020). MSC: 53Z05 32C38 70S15 81T30 81Q70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Budur, Nero; Liu, Yongqiang On the length of perverse sheaves on hyperplane arrangements. (English) Zbl 1446.14008 Eur. J. Math. 6, No. 3, 681-712 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F10 14F45 32C38 32S22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
D’Agnolo, Andrea; Hien, Marco; Morando, Giovanni; Sabbah, Claude Topological computation of some Stokes phenomena on the affine line. (Calcul topologique de certains phénomènes de Stokes sur la droite affine.) (English. French summary) Zbl 1505.14019 Ann. Inst. Fourier 70, No. 2, 739-808 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 34M40 44A10 32C38 14F43 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Indranil On the moduli space of holomorphic \(G\)-connections on a compact Riemann surface. (English) Zbl 1439.14113 Eur. J. Math. 6, No. 2, 321-335 (2020). MSC: 14H60 14D20 53B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Botong; Budur, Nero Absolute sets and the decomposition theorem. (English) Zbl 1453.14054 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 469-536 (2020); correction ibid. 55, No. 5, 1473-1474 (2022). MSC: 14F08 14D20 18F25 18G80 14F10 14F45 32C38 14D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
D’Agnolo, Andrea; Kashiwara, Masaki Enhanced perversities. (English) Zbl 1423.32015 J. Reine Angew. Math. 751, 185-241 (2019). Reviewer: Dingxin Zhang (Beijing) MSC: 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhatt, Bhargav; Lurie, Jacob A Riemann-Hilbert correspondence in positive characteristic. (English) Zbl 1458.14030 Camb. J. Math. 7, No. 1-2, 71-217 (2019). Reviewer: Linquan Ma (Salt Lake City) MSC: 14G17 13A35 14F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chekhov, Leonid; Mazzocco, Marta; Rubtsov, Vladimir Algebras of quantum monodromy data and character varieties. (English) Zbl 1422.14033 Andersen, Jørgen Ellegaard (ed.) et al., Geometry and physics. A festschrift in honour of Nigel Hitchin. Volume 1. Oxford: Oxford University Press. 39-68 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H15 14D20 17B37 14D05 × Cite Format Result Cite Review PDF
Inaba, Michi-aki; Saito, Masa-Hiko Moduli of regular singular parabolic connections with given spectral type on smooth projective curves. (English) Zbl 1401.14060 J. Math. Soc. Japan 70, No. 3, 879-894 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D20 34M56 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shojaei-Fard, Ali A new perspective on intermediate algorithms via the Riemann-Hilbert correspondence. (English) Zbl 1400.68071 Quantum Stud. Math. Found. 4, No. 2, 127-148 (2017). Reviewer: T. C. Mohan (Chennai) MSC: 68Q05 03D20 16T05 17B81 22E70 34A26 81R05 81T15 81T18 × Cite Format Result Cite Review PDF Full Text: DOI
Sabbah, Claude Erratum to: “A remark on the irregularity complex”. (English) Zbl 1376.32013 J. Singul. 16, 194-194 (2017). MSC: 32C38 × Cite Format Result Cite Review PDF Full Text: DOI Link
Sabbah, Claude A remark on the irregularity complex. (English) Zbl 1371.32006 J. Singul. 16, 101-114 (2017). MSC: 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deift, Percy Some open problems in random matrix theory and the theory of integrable systems. II. (English) Zbl 1375.37160 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 016, 23 p. (2017). Reviewer: Jonathan Eckhardt (Wien) MSC: 37K15 15B52 34M55 35Q53 60F05 60K35 62H25 82B44 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Ruochuan; Zhu, Xinwen Rigidity and a Riemann-Hilbert correspondence for \(p\)-adic local systems. (English) Zbl 1375.14090 Invent. Math. 207, No. 1, 291-343 (2017). Reviewer: Laurent Berger (Lyon) MSC: 14G22 14G35 14J60 11S15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Budur, Nero; Wang, Botong Local systems on analytic germ complements. (English) Zbl 1353.14006 Adv. Math. 306, 905-928 (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 14B15 14B05 32S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, An; Lian, Bong H.; Zhu, Xinwen Period integrals and the Riemann-Hilbert correspondence. (English) Zbl 1387.14042 J. Differ. Geom. 104, No. 2, 325-369 (2016). Reviewer: Ruifang Song (Mountain View) MSC: 14D05 14C30 14D07 53D37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link Link
Stäbler, Axel \(V\)-filtrations in positive characteristic and test modules. (English) Zbl 1352.13005 Trans. Am. Math. Soc. 368, No. 11, 7777-7808 (2016). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 13A35 14B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Teyssier, Jean-Baptiste On a characterization of regular holonomic \(\mathcal{D}\)-modules. (Sur une caractérisation des \(\mathcal{D}\)-modules holonomes réguliers.) (French. English summary) Zbl 1359.32010 Math. Res. Lett. 23, No. 1, 273-302 (2016). MSC: 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Agnolo, Andrea; Kashiwara, Masaki Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules. (English) Zbl 1351.32017 Publ. Math., Inst. Hautes Étud. Sci. 123, 69-197 (2016). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32C38 32S60 34M40 35Q15 35A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hien, Marco; Sabbah, Claude The local Laplace transform of an elementary irregular meromorphic connection. (English) Zbl 1330.14012 Rend. Semin. Mat. Univ. Padova 134, 133-196 (2015). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D07 34M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Indranil Moduli space of \(G\)-connections on an elliptic curve. (English) Zbl 1334.14008 Ann. Global Anal. Geom. 48, No. 2, 125-132 (2015). Reviewer: Oleksandr Iena (Luxembourg) MSC: 14D20 14H52 53B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Block, Jonathan; Smith, Aaron M. The higher Riemann-Hilbert correspondence. (English) Zbl 1304.18036 Adv. Math. 252, 382-405 (2014). MSC: 18G55 53C05 58A50 × Cite Format Result Cite Review PDF Full Text: DOI
Iwasaki, Katsunori On algebraic solutions to Painlevé VI. (English) Zbl 1316.34097 RIMS Kôkyûroku Bessatsu B37, 49-67 (2013). Reviewer: Shun Shimomura (Yokohama) MSC: 34M55 32M17 34M15 × Cite Format Result Cite Review PDF Full Text: arXiv
Inaba, Michi-Aki; Saito, Masa-Hiko Moduli of unramified irregular singular parabolic connections on a smooth projective curve. (English) Zbl 1267.14015 Kyoto J. Math. 53, No. 2, 433-482 (2013). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D20 34M56 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Ludsteck, Thomas Algebraic and analytic parallel transport on \(p\)-adic curves. (English) Zbl 1277.14025 Abh. Math. Semin. Univ. Hamb. 83, No. 1, 83-99 (2013). Reviewer: Andrew Obus (Charlottesville) MSC: 14H30 14H60 14H70 14G22 11G20 × Cite Format Result Cite Review PDF Full Text: DOI
Mazzocco, Marta; Vidunas, Raimundas Cubic and quartic transformations of the sixth Painlevé equation in terms of Riemann-Hilbert correspondence. (English) Zbl 1281.34132 Stud. Appl. Math. 130, No. 1, 17-48 (2013). Reviewer: Galina Filipuk (Warszawa) MSC: 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sabbah, Claude Introduction to Stokes structures. (English) Zbl 1260.34002 Lecture Notes in Mathematics 2060. Berlin: Springer (ISBN 978-3-642-31694-4/pbk; 978-3-642-31695-1/ebook). xiv, 249 p. (2013). Reviewer: Vladimir P. Kostov (Nice) MSC: 34-02 34M03 34M15 34M40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kriz, Igor; Xiu, Yang Tree algebras: an algebraic axiomatization of intertwining vertex operators. (English) Zbl 1274.17042 Arch. Math., Brno 48, No. 5, 353-370 (2012). Reviewer: Martin Čadek (Brno) MSC: 17B69 81T40 35Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EMIS
Fu, Lei Integrable connections and Galois representations. (English) Zbl 1260.14025 Ji, Lizhen (ed.) et al., Fifth international congress of Chinese mathematicians. Proceedings of the ICCM ’10, Beijing, China, December 17–22, 2010. Part 1. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-7586-5/pbk; 978-0-8218-7555-1/set). AMS/IP Studies in Advanced Mathematics 51, pt.1, 127-137 (2012). Reviewer: Manish Kumar (Bangalore) MSC: 14G32 × Cite Format Result Cite Review PDF
Mochizuki, Takuro The Stokes structure of a good meromorphic flat bundle. (English) Zbl 1227.32011 J. Inst. Math. Jussieu 10, No. 3, 675-712 (2011). Reviewer: Daniel Barlet (Nancy) MSC: 32C38 35A27 × Cite Format Result Cite Review PDF Full Text: DOI
Boalch, P. P. Riemann-Hilbert for tame complex parahoric connections. (English) Zbl 1232.34117 Transform. Groups 16, No. 1, 27-50 (2011). Reviewer: Alexandru Dimca (Nice) MSC: 34M35 34M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
D’Agnolo, Andrea; Guillermou, Stéphane; Schapira, Pierre Regular holonomic \(\mathcal {D}[[\hbar]]\)-modules. (English) Zbl 1223.32008 Publ. Res. Inst. Math. Sci. 47, No. 1, 221-255 (2011). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32C38 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yamakawa, Daisuke Middle convolution and Harnad duality. (English) Zbl 1217.53085 Math. Ann. 349, No. 1, 215-262 (2011). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 53D30 34M15 14L24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masoero, Davide Y-system and deformed thermodynamic Bethe Ansatz. (English) Zbl 1210.34129 Lett. Math. Phys. 94, No. 2, 151-164 (2010). Reviewer: Galina Filipuk (Warszawa) MSC: 34M35 34M55 34M50 82B23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marcolli, Matilde Feynman integrals and motives. (English) Zbl 1192.81241 Ran, André (ed.) et al., European congress of mathematics. Proceedings of the 5th ECM congress, Amsterdam, Netherlands, July 14–18, 2008. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-077-7/hbk). 293-332 (2010). MSC: 81T18 19E15 81-02 34M50 × Cite Format Result Cite Review PDF Full Text: arXiv
Miller, Carl A. An Euler-Poincaré bound for equicharacteristic étale sheaves. (English) Zbl 1185.14016 Algebra Number Theory 4, No. 1, 21-45 (2010). MSC: 14F20 13A35 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Marcolli, Matilde Feynman motives. (English) Zbl 1192.14001 Hackensack, NJ: World Scientific (ISBN 978-981-4271-20-2/hbk; 978-981-4304-48-1/pbk; 978-981-4271-21-9/ebook). xiii, 220 p. (2010). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 14-02 81-02 14C15 81Q30 14A22 14J81 × Cite Format Result Cite Review PDF Full Text: Link
Szabó, Szilárd The extension of a Fuchsian equation onto the projective line. (English) Zbl 1199.14010 Acta Sci. Math. 74, No. 3-4, 557-564 (2008). Reviewer: Atanas Iliev (Sofia) MSC: 14H60 34M50 34M35 35Q15 × Cite Format Result Cite Review PDF
Deift, Percy Some open problems in random matrix theory and the theory of integrable systems. (English) Zbl 1147.15305 Baik, Jinho (ed.) et al., Integrable systems and random matrices. In honor of Percy Deift. Conference on integrable systems, random matrices, and applications in honor of Percy Deift’s 60th birthday, New York, NY, USA, May 22–26, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4240-9/pbk). Contemporary Mathematics 458, 419-430 (2008). MSC: 15B52 35Q15 37K15 34M55 35Q53 35Q55 62H25 60F05 × Cite Format Result Cite Review PDF Full Text: arXiv
Iwasaki, Katsunori Finite branch solutions to Painlevé VI around a fixed singular point. (English) Zbl 1163.34061 Adv. Math. 217, No. 5, 1889-1934 (2008). Reviewer: Shun Shimomura (Yokohama) MSC: 34M55 34M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Connes, Alain; Marcolli, Matilde Noncommutative geometry, quantum fields and motives. (English) Zbl 1209.58007 Colloquium Publications. American Mathematical Society 55. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (ISBN 978-0-8218-4210-2/hbk). xxii, 785 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58B34 58-02 11-02 81-02 11G35 × Cite Format Result Cite Review PDF
Hotta, Ryoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi. Expanded edition. (English) Zbl 1136.14009 Progress in Mathematics 236. Basel: Birkhäuser (ISBN 978-0-8176-4363-8/hbk). x, 407 p. (2008). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 14F10 32C38 22E46 14F40 35A27 17B10 14-02 32-02 × Cite Format Result Cite Review PDF
Ogus, A.; Vologodsky, V. Nonabelian Hodge theory in characteristic \(p\). (English) Zbl 1140.14007 Publ. Math., Inst. Hautes Étud. Sci. 106, 1-138 (2007). Reviewer: Werner Kleinert (Berlin) MSC: 14C30 14F40 14F05 14F43 14F10 14K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML Link
Iwasaki, Katsunori Some dynamical aspects of Painlevé VI. (English) Zbl 1177.34112 Aoki, Takashi (ed.) et al., Algebraic analysis of differential equations. From microlocal analysis to exponential asymptotics. Festschrift in honor of Takahiro Kawai. Containing papers presented at the conference on algebraic analysis of differential equations–from microlocal analysis to exponential asymptotics, Kyoto, Japan, July 7–14, 2005. Tokyo: Springer (ISBN 978-4-431-73239-6/hbk). 143-156 (2007). Reviewer: N. M. J. Woodhouse (Oxford) MSC: 34M55 × Cite Format Result Cite Review PDF
Dettweiler, Michael; Wewers, Stefan Variation of parabolic cohomology and Poincaré duality. (English) Zbl 1157.14003 Bertrand, Daniel (ed.) et al., Groupes de Galois arithmétique et différentiels. Paris: Société Mathématique de France (ISBN 978-2-85629-222-8/pbk). Séminaires et Congrès 13, 145-164 (2006). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 14H70 14F05 × Cite Format Result Cite Review PDF Full Text: arXiv
Connes, Alain; Marcolli, Matilde Quantum fields and motives. (English) Zbl 1092.81050 J. Geom. Phys. 56, No. 1, 55-85 (2006). Reviewer: Jan Hamhalter (Praha) MSC: 81T15 81T16 11S20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Esnault, Hélène Variation on Artin’s vanishing theorem. (English) Zbl 1083.14018 Adv. Math. 198, No. 2, 435-438 (2005). MSC: 14F17 14F30 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Illusie, Luc; Kato, Kazuya; Nakayama, Chikara Quasi-unipotent logarithmic Riemann-Hilbert correspondences. (English) Zbl 1082.14024 J. Math. Sci., Tokyo 12, No. 1, 1-66 (2005); erratum ibid. 14, No. 1, 113-116 (2007). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 14F40 14F20 32C38 32G20 × Cite Format Result Cite Review PDF
Inaba, Michi-Aki; Iwasaki, Katsunori; Saito, Masa-Hiko Bäcklund transformations of the sixth Painlevé equation in terms of Riemann-Hilbert correspondence. (English) Zbl 1087.34062 Int. Math. Res. Not. 2004, No. 1, 1-30 (2004). Reviewer: J. Saurer (Regensburg) MSC: 34M55 34M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kashiwara, Masaki \(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. (English) Zbl 1073.14023 Mosc. Math. J. 4, No. 4, 847-868 (2004). Reviewer: Alberto Parmeggiani (Bologna) MSC: 14F05 32C38 18E30 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Emerton, Matthew; Kisin, Mark The Riemann-Hilbert correspondence for unit \(F\)-crystals. (English) Zbl 1056.14025 Astérisque 293. Paris: Société Mathématique de France (ISBN 2-85629-154-6/pbk ). 257 p. (2004). Reviewer: Gerd Faltings (Bonn) MSC: 14F30 × Cite Format Result Cite Review PDF
Blickle, Manuel The intersection homology \(D\)-module in finite characteristic. (English) Zbl 1065.14006 Math. Ann. 328, No. 3, 425-450 (2004). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14B15 13N10 14L30 13D45 13A35 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Di Vizio, L.; Ramis, J.-P.; Sauloy, J.; Zhang, C. \(q\)-difference equations. (Équations aux \(q\)-différences.) (French) Zbl 1063.39015 Gaz. Math., Soc. Math. Fr. 96, 20-49 (2003). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 39-03 01A55 01A60 × Cite Format Result Cite Review PDF
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Baranovsky, Vladimir; Ginzburg, Victor; Kuznetsov, Alexander Wilson’s Grassmannian and a noncommutative quadric. (English) Zbl 1059.58006 Int. Math. Res. Not. 2003, No. 21, 1155-1167 (2003). MSC: 58B25 16S32 32C38 14A22 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giorgadze, G. On the quantum computing based on the monodromy representation. (English) Zbl 1070.34121 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 17, No. 1-2, 29-33 (2002). Reviewer: Yoshishige Haraoka (Kumamoto) MSC: 34M35 34M50 81P68 32G34 × Cite Format Result Cite Review PDF
Nori, Madhav V. Constructible sheaves. (English) Zbl 1059.14025 Parimala, R. (ed.), Proceedings of the international colloquium on algebra, arithmetic and geometry, Mumbai, India, January 4–12, 2000. Part I and II. New Delhi: Narosa Publishing House, published for the Tata Institute of Fundamental Research, Bombay (ISBN 81-7319-476-9). Stud. Math., Tata Inst. Fundam. Res. 16, 471-491 (2002). MSC: 14F05 18E30 18F20 × Cite Format Result Cite Review PDF Full Text: arXiv
Sauloy, Jacques Galois theory of \(q\)-difference equations: the “analytical” approach. (English) Zbl 1036.12007 Braaksma, B. L. J. (ed.) et al., Differential equations and the Stokes phenomenon. Proceedings of the conference, Groningen, Netherlands, May 28–30, 2001. Singapore: World Scientific, 277-292 (2002). MSC: 39A13 34M55 12H10 × Cite Format Result Cite Review PDF
Kato, Kazuya; Matsubara, Toshiharu; Nakayama, Chikara Log \(C^\infty\)-functions and degenerations of Hodge structures. (English) Zbl 1047.14005 Usui, Sampei (ed.) et al., Algebraic geometry 2000, Azumino. Proceedings of the symposium, Nagano, Japan, July 20–30, 2000. Tokyo: Mathematical Society of Japan (ISBN 4-931469-20-5/hbk). Adv. Stud. Pure Math. 36, 269-320 (2002). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14D07 32G20 × Cite Format Result Cite Review PDF
Kakei, Saburo; Ikeda, Takeshi; Takasaki, Kanehisa Hierarchy of \((2+1)\)-dimensional nonlinear Schrödinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras. (English) Zbl 1054.35093 Ann. Henri Poincaré 3, No. 5, 817-845 (2002). Reviewer: Emma Previato (Boston) MSC: 35Q55 37K10 37K15 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neto, O. A microlocal Riemann-Hilbert correspondence. (English) Zbl 0995.58018 Compos. Math. 127, No. 3, 229-241 (2001). Reviewer: Alberto Parmeggiani (Bologna) MSC: 58J40 32S40 35N10 × Cite Format Result Cite Review PDF Full Text: DOI
Usui, Sampei Recovery of vanishing cycles by log geometry. (English) Zbl 1015.14005 Tohoku Math. J., II. Ser. 53, No. 1, 1-36 (2001). MSC: 14D07 14C25 14C30 32G20 × Cite Format Result Cite Review PDF Full Text: DOI
Jun, Byungheup Monodromies of algebraic connections on the trivial bundle. (English. Abridged French version) Zbl 1018.14012 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 10, 809-813 (2000). MSC: 14H60 14D05 14F05 14H30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nitsure, Nitin Moduli of regular holonomic \(\mathcal D\)-modules with normal crossing singularities. (English) Zbl 0965.14009 Duke Math. J. 99, No. 1, 1-39 (1999). Reviewer: Masakazu Muro (Yanagido) MSC: 14F10 32C38 32G13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Usui, Sampei Recovery of vanishing cycles by log geometry: Case of several variables. (English) Zbl 1015.14006 Eisenbud, David (ed.), Commutative algebra, algebraic geometry, and computational methods. Proceedings of the conference on algebraic geometry, commutative algebra, and computation, Hanoi, Vietnam, 1996. Singapore: Springer. 135-143 (1999). MSC: 14D07 14C25 32G20 × Cite Format Result Cite Review PDF
Kato, Kazuya; Nakayama, Chikara log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\). (English) Zbl 0957.14015 Kodai Math. J. 22, No. 2, 161-186 (1999). Reviewer: Gerd Faltings (Bonn) MSC: 14F20 14F43 × Cite Format Result Cite Review PDF Full Text: DOI
Neto, O.; Silva, F. C. Singular regular differential equations and eigenvalues of products of matrices. (English) Zbl 0935.15006 Linear Multilinear Algebra 46, No. 1-2, 145-164 (1999). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A18 34A30 20G05 15A29 × Cite Format Result Cite Review PDF Full Text: DOI
Nitsure, Nitin; Sabbah, Claude Moduli of pre-\(\mathcal D\)-modules, perverse sheaves and the Riemann-Hilbert morphism. I. (English) Zbl 0853.14004 Math. Ann. 306, No. 1, 47-73 (1996). Reviewer: N.Nitsure (Bombay) MSC: 14D20 14F10 32G81 32C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Kashiwara, Masaki; Schmid, Wilfried Quasi-equivariant \({\mathcal D}\)-modules, equivariant derived category, and representations of reductive Lie groups. (English) Zbl 0854.22014 Brylinski, Jean-Luc (ed.) et al., Lie theory and geometry: in honor of Bertram Kostant on the occasion of his 65th birthday. Invited papers, some originated at a symposium held at MIT, Cambridge, MA, USA in May 1993. Boston, MA: Birkhäuser. Prog. Math. 123, 457-488 (1994). Reviewer: M.Muro (Yanagido) MSC: 22E45 × Cite Format Result Cite Review PDF
Andronikof, Emmanuel A microlocal version of the Riemann-Hilbert correspondence. (English) Zbl 0839.32004 Topol. Methods Nonlinear Anal. 4, No. 2, 417-425 (1994). Reviewer: M.Muro (Yanagido) MSC: 32C38 14F10 18F20 × Cite Format Result Cite Review PDF Full Text: DOI
Borel, Armand Introduction to middle intersection cohomology and perverse sheaves. (English) Zbl 0832.55005 Haboush, William J. (ed.) et al., Algebraic groups and their generalizations: classical methods. Summer Research Institute on algebraic groups and their generalizations, July 6-26, 1991, Pennsylvania State University, University Park, PA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 56, Pt. 1, 25-52 (1994). Reviewer: M.Saralegi-Aranguren (Madrid) MSC: 55N33 14F43 32S60 20G05 × Cite Format Result Cite Review PDF
Deninger, Christopher Motivic \(L\)-functions and regularized determinants. (English) Zbl 0816.14010 Jannsen, Uwe (ed.) et al., Motives. Proceedings of the summer research conference on motives, held at the University of Washington, Seattle, WA, USA, July 20-August 2, 1991. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 55, Pt. 1, 707-743 (1994). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 14G40 14G10 14A20 14F99 × Cite Format Result Cite Review PDF